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Finding the Third Proportional to 150,683 and 233,467

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Solution

The third proportional to 150,683 and 233,467 is: 361,731.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,683 : 233,467 = 233,467 : x
  2. Step 2: Convert to fraction form
    150,683/233,467 = 233,467/x
  3. Step 3: Cross multiply
    150,683x = 233,467 × 233,467
  4. Step 4: Simplify right side
    150,683x = 54,506,840,089
  5. Step 5: Solve for x
    x = 54,506,840,089/150,683
  6. Step 6: Final answer
    x = 361,731.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.