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Finding the Third Proportional to 225,072 and 531,294.75

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Solution

The third proportional to 225,072 and 531,294.75 is: 1,254,150.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,072 : 531,294.75 = 531,294.75 : x
  2. Step 2: Convert to fraction form
    225,072/531,294.75 = 531,294.75/x
  3. Step 3: Cross multiply
    225,072x = 531,294.75 × 531,294.75
  4. Step 4: Simplify right side
    225,072x = 282,274,111,377.56
  5. Step 5: Solve for x
    x = 282,274,111,377.56/225,072
  6. Step 6: Final answer
    x = 1,254,150.28

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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.