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Finding the Third Proportional to 237,123 and 355,691

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Solution

The third proportional to 237,123 and 355,691 is: 533,546.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,123 : 355,691 = 355,691 : x
  2. Step 2: Convert to fraction form
    237,123/355,691 = 355,691/x
  3. Step 3: Cross multiply
    237,123x = 355,691 × 355,691
  4. Step 4: Simplify right side
    237,123x = 126,516,087,481
  5. Step 5: Solve for x
    x = 126,516,087,481/237,123
  6. Step 6: Final answer
    x = 533,546.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.