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Finding the Third Proportional to 156,632 and 252,202

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Solution

The third proportional to 156,632 and 252,202 is: 406,084.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,632 : 252,202 = 252,202 : x
  2. Step 2: Convert to fraction form
    156,632/252,202 = 252,202/x
  3. Step 3: Cross multiply
    156,632x = 252,202 × 252,202
  4. Step 4: Simplify right side
    156,632x = 63,605,848,804
  5. Step 5: Solve for x
    x = 63,605,848,804/156,632
  6. Step 6: Final answer
    x = 406,084.64

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.