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Finding the Third Proportional to 234,928 and 357,900

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Solution

The third proportional to 234,928 and 357,900 is: 545,241.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,928 : 357,900 = 357,900 : x
  2. Step 2: Convert to fraction form
    234,928/357,900 = 357,900/x
  3. Step 3: Cross multiply
    234,928x = 357,900 × 357,900
  4. Step 4: Simplify right side
    234,928x = 128,092,410,000
  5. Step 5: Solve for x
    x = 128,092,410,000/234,928
  6. Step 6: Final answer
    x = 545,241.14

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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.