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Finding the Third Proportional to 150,963.75 and 234,829.13

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Solution

The third proportional to 150,963.75 and 234,829.13 is: 365,284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,963.75 : 234,829.13 = 234,829.13 : x
  2. Step 2: Convert to fraction form
    150,963.75/234,829.13 = 234,829.13/x
  3. Step 3: Cross multiply
    150,963.75x = 234,829.13 × 234,829.13
  4. Step 4: Simplify right side
    150,963.75x = 55,144,717,948.27
  5. Step 5: Solve for x
    x = 55,144,717,948.27/150,963.75
  6. Step 6: Final answer
    x = 365,284.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.