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Finding the Third Proportional to 150,442 and 232,188

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Solution

The third proportional to 150,442 and 232,188 is: 358,352.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,442 : 232,188 = 232,188 : x
  2. Step 2: Convert to fraction form
    150,442/232,188 = 232,188/x
  3. Step 3: Cross multiply
    150,442x = 232,188 × 232,188
  4. Step 4: Simplify right side
    150,442x = 53,911,267,344
  5. Step 5: Solve for x
    x = 53,911,267,344/150,442
  6. Step 6: Final answer
    x = 358,352.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.