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Finding the Third Proportional to 156,932 and 201,496

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Solution

The third proportional to 156,932 and 201,496 is: 258,714.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,932 : 201,496 = 201,496 : x
  2. Step 2: Convert to fraction form
    156,932/201,496 = 201,496/x
  3. Step 3: Cross multiply
    156,932x = 201,496 × 201,496
  4. Step 4: Simplify right side
    156,932x = 40,600,638,016
  5. Step 5: Solve for x
    x = 40,600,638,016/156,932
  6. Step 6: Final answer
    x = 258,714.84

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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.