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Finding the Third Proportional to 156,638 and 252,210

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Solution

The third proportional to 156,638 and 252,210 is: 406,094.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,638 : 252,210 = 252,210 : x
  2. Step 2: Convert to fraction form
    156,638/252,210 = 252,210/x
  3. Step 3: Cross multiply
    156,638x = 252,210 × 252,210
  4. Step 4: Simplify right side
    156,638x = 63,609,884,100
  5. Step 5: Solve for x
    x = 63,609,884,100/156,638
  6. Step 6: Final answer
    x = 406,094.84

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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.