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Finding the Third Proportional to 156,747 and 235,124

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Solution

The third proportional to 156,747 and 235,124 is: 352,691.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,747 : 235,124 = 235,124 : x
  2. Step 2: Convert to fraction form
    156,747/235,124 = 235,124/x
  3. Step 3: Cross multiply
    156,747x = 235,124 × 235,124
  4. Step 4: Simplify right side
    156,747x = 55,283,295,376
  5. Step 5: Solve for x
    x = 55,283,295,376/156,747
  6. Step 6: Final answer
    x = 352,691.25

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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.