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Finding the Third Proportional to 156,657 and 234,397.50

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Solution

The third proportional to 156,657 and 234,397.50 is: 350,716.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,657 : 234,397.50 = 234,397.50 : x
  2. Step 2: Convert to fraction form
    156,657/234,397.50 = 234,397.50/x
  3. Step 3: Cross multiply
    156,657x = 234,397.50 × 234,397.50
  4. Step 4: Simplify right side
    156,657x = 54,942,188,006.25
  5. Step 5: Solve for x
    x = 54,942,188,006.25/156,657
  6. Step 6: Final answer
    x = 350,716.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.