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Finding the Third Proportional to 225,364 and 337,342

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Solution

The third proportional to 225,364 and 337,342 is: 504,959.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,364 : 337,342 = 337,342 : x
  2. Step 2: Convert to fraction form
    225,364/337,342 = 337,342/x
  3. Step 3: Cross multiply
    225,364x = 337,342 × 337,342
  4. Step 4: Simplify right side
    225,364x = 113,799,624,964
  5. Step 5: Solve for x
    x = 113,799,624,964/225,364
  6. Step 6: Final answer
    x = 504,959.20

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