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Finding the Third Proportional to 156,941 and 201,506

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Solution

The third proportional to 156,941 and 201,506 is: 258,725.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,941 : 201,506 = 201,506 : x
  2. Step 2: Convert to fraction form
    156,941/201,506 = 201,506/x
  3. Step 3: Cross multiply
    156,941x = 201,506 × 201,506
  4. Step 4: Simplify right side
    156,941x = 40,604,668,036
  5. Step 5: Solve for x
    x = 40,604,668,036/156,941
  6. Step 6: Final answer
    x = 258,725.69

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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.