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Finding the Third Proportional to 151,542 and 234,495

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Solution

The third proportional to 151,542 and 234,495 is: 362,855.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,542 : 234,495 = 234,495 : x
  2. Step 2: Convert to fraction form
    151,542/234,495 = 234,495/x
  3. Step 3: Cross multiply
    151,542x = 234,495 × 234,495
  4. Step 4: Simplify right side
    151,542x = 54,987,905,025
  5. Step 5: Solve for x
    x = 54,987,905,025/151,542
  6. Step 6: Final answer
    x = 362,855.88

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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.