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Finding the Third Proportional to 225,428 and 335,982

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Solution

The third proportional to 225,428 and 335,982 is: 500,753.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,428 : 335,982 = 335,982 : x
  2. Step 2: Convert to fraction form
    225,428/335,982 = 335,982/x
  3. Step 3: Cross multiply
    225,428x = 335,982 × 335,982
  4. Step 4: Simplify right side
    225,428x = 112,883,904,324
  5. Step 5: Solve for x
    x = 112,883,904,324/225,428
  6. Step 6: Final answer
    x = 500,753.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.