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Finding the Third Proportional to 156,957 and 201,530

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Solution

The third proportional to 156,957 and 201,530 is: 258,760.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,957 : 201,530 = 201,530 : x
  2. Step 2: Convert to fraction form
    156,957/201,530 = 201,530/x
  3. Step 3: Cross multiply
    156,957x = 201,530 × 201,530
  4. Step 4: Simplify right side
    156,957x = 40,614,340,900
  5. Step 5: Solve for x
    x = 40,614,340,900/156,957
  6. Step 6: Final answer
    x = 258,760.94

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Why These Related Problems?

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