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Finding the Third Proportional to 225,522 and 337,547

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Solution

The third proportional to 225,522 and 337,547 is: 505,218.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,522 : 337,547 = 337,547 : x
  2. Step 2: Convert to fraction form
    225,522/337,547 = 337,547/x
  3. Step 3: Cross multiply
    225,522x = 337,547 × 337,547
  4. Step 4: Simplify right side
    225,522x = 113,937,977,209
  5. Step 5: Solve for x
    x = 113,937,977,209/225,522
  6. Step 6: Final answer
    x = 505,218.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.