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Finding the Third Proportional to 225,446 and 337,455

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Solution

The third proportional to 225,446 and 337,455 is: 505,113.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,446 : 337,455 = 337,455 : x
  2. Step 2: Convert to fraction form
    225,446/337,455 = 337,455/x
  3. Step 3: Cross multiply
    225,446x = 337,455 × 337,455
  4. Step 4: Simplify right side
    225,446x = 113,875,877,025
  5. Step 5: Solve for x
    x = 113,875,877,025/225,446
  6. Step 6: Final answer
    x = 505,113.76

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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.