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Finding the Third Proportional to 156,957 and 201,534

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Solution

The third proportional to 156,957 and 201,534 is: 258,771.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,957 : 201,534 = 201,534 : x
  2. Step 2: Convert to fraction form
    156,957/201,534 = 201,534/x
  3. Step 3: Cross multiply
    156,957x = 201,534 × 201,534
  4. Step 4: Simplify right side
    156,957x = 40,615,953,156
  5. Step 5: Solve for x
    x = 40,615,953,156/156,957
  6. Step 6: Final answer
    x = 258,771.21

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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.