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Finding the Third Proportional to 156,750 and 234,758

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Solution

The third proportional to 156,750 and 234,758 is: 351,587.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,750 : 234,758 = 234,758 : x
  2. Step 2: Convert to fraction form
    156,750/234,758 = 234,758/x
  3. Step 3: Cross multiply
    156,750x = 234,758 × 234,758
  4. Step 4: Simplify right side
    156,750x = 55,111,318,564
  5. Step 5: Solve for x
    x = 55,111,318,564/156,750
  6. Step 6: Final answer
    x = 351,587.36

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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.