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Finding the Third Proportional to 156,711.38 and 235,065.38

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Solution

The third proportional to 156,711.38 and 235,065.38 is: 352,595.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,711.38 : 235,065.38 = 235,065.38 : x
  2. Step 2: Convert to fraction form
    156,711.38/235,065.38 = 235,065.38/x
  3. Step 3: Cross multiply
    156,711.38x = 235,065.38 × 235,065.38
  4. Step 4: Simplify right side
    156,711.38x = 55,255,730,523.89
  5. Step 5: Solve for x
    x = 55,255,730,523.89/156,711.38
  6. Step 6: Final answer
    x = 352,595.53

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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.