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Finding the Third Proportional to 234,932 and 357,906

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Solution

The third proportional to 234,932 and 357,906 is: 545,250.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,932 : 357,906 = 357,906 : x
  2. Step 2: Convert to fraction form
    234,932/357,906 = 357,906/x
  3. Step 3: Cross multiply
    234,932x = 357,906 × 357,906
  4. Step 4: Simplify right side
    234,932x = 128,096,704,836
  5. Step 5: Solve for x
    x = 128,096,704,836/234,932
  6. Step 6: Final answer
    x = 545,250.14

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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.