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Finding the Third Proportional to 234,764 and 351,246

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Solution

The third proportional to 234,764 and 351,246 is: 525,522.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,764 : 351,246 = 351,246 : x
  2. Step 2: Convert to fraction form
    234,764/351,246 = 351,246/x
  3. Step 3: Cross multiply
    234,764x = 351,246 × 351,246
  4. Step 4: Simplify right side
    234,764x = 123,373,752,516
  5. Step 5: Solve for x
    x = 123,373,752,516/234,764
  6. Step 6: Final answer
    x = 525,522.45

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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.