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Finding the Third Proportional to 156,982 and 235,117

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Solution

The third proportional to 156,982 and 235,117 is: 352,142.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,982 : 235,117 = 235,117 : x
  2. Step 2: Convert to fraction form
    156,982/235,117 = 235,117/x
  3. Step 3: Cross multiply
    156,982x = 235,117 × 235,117
  4. Step 4: Simplify right side
    156,982x = 55,280,003,689
  5. Step 5: Solve for x
    x = 55,280,003,689/156,982
  6. Step 6: Final answer
    x = 352,142.31

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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.