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Finding the Third Proportional to 234,894 and 357,010.50

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Solution

The third proportional to 234,894 and 357,010.50 is: 542,612.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,894 : 357,010.50 = 357,010.50 : x
  2. Step 2: Convert to fraction form
    234,894/357,010.50 = 357,010.50/x
  3. Step 3: Cross multiply
    234,894x = 357,010.50 × 357,010.50
  4. Step 4: Simplify right side
    234,894x = 127,456,497,110.25
  5. Step 5: Solve for x
    x = 127,456,497,110.25/234,894
  6. Step 6: Final answer
    x = 542,612.83

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Why These Related Problems?

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