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Finding the Third Proportional to 225,032.31 and 531,210.13

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Solution

The third proportional to 225,032.31 and 531,210.13 is: 1,253,971.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,032.31 : 531,210.13 = 531,210.13 : x
  2. Step 2: Convert to fraction form
    225,032.31/531,210.13 = 531,210.13/x
  3. Step 3: Cross multiply
    225,032.31x = 531,210.13 × 531,210.13
  4. Step 4: Simplify right side
    225,032.31x = 282,184,196,902.52
  5. Step 5: Solve for x
    x = 282,184,196,902.52/225,032.31
  6. Step 6: Final answer
    x = 1,253,971.90

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.