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Finding the Third Proportional to 234,498.75 and 356,487

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Solution

The third proportional to 234,498.75 and 356,487 is: 541,934.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,498.75 : 356,487 = 356,487 : x
  2. Step 2: Convert to fraction form
    234,498.75/356,487 = 356,487/x
  3. Step 3: Cross multiply
    234,498.75x = 356,487 × 356,487
  4. Step 4: Simplify right side
    234,498.75x = 127,082,981,169
  5. Step 5: Solve for x
    x = 127,082,981,169/234,498.75
  6. Step 6: Final answer
    x = 541,934.58

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.