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Finding the Third Proportional to 156,964 and 201,542

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Solution

The third proportional to 156,964 and 201,542 is: 258,780.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,964 : 201,542 = 201,542 : x
  2. Step 2: Convert to fraction form
    156,964/201,542 = 201,542/x
  3. Step 3: Cross multiply
    156,964x = 201,542 × 201,542
  4. Step 4: Simplify right side
    156,964x = 40,619,177,764
  5. Step 5: Solve for x
    x = 40,619,177,764/156,964
  6. Step 6: Final answer
    x = 258,780.22

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.