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Finding the Third Proportional to 225,033.19 and 531,208.13

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Solution

The third proportional to 225,033.19 and 531,208.13 is: 1,253,957.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,033.19 : 531,208.13 = 531,208.13 : x
  2. Step 2: Convert to fraction form
    225,033.19/531,208.13 = 531,208.13/x
  3. Step 3: Cross multiply
    225,033.19x = 531,208.13 × 531,208.13
  4. Step 4: Simplify right side
    225,033.19x = 282,182,072,066.02
  5. Step 5: Solve for x
    x = 282,182,072,066.02/225,033.19
  6. Step 6: Final answer
    x = 1,253,957.58

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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.