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Finding the Third Proportional to 171,232.50 and 272,704.50

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Solution

The third proportional to 171,232.50 and 272,704.50 is: 434,308.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,232.50 : 272,704.50 = 272,704.50 : x
  2. Step 2: Convert to fraction form
    171,232.50/272,704.50 = 272,704.50/x
  3. Step 3: Cross multiply
    171,232.50x = 272,704.50 × 272,704.50
  4. Step 4: Simplify right side
    171,232.50x = 74,367,744,320.25
  5. Step 5: Solve for x
    x = 74,367,744,320.25/171,232.50
  6. Step 6: Final answer
    x = 434,308.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.