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Finding the Third Proportional to 156,656 and 288,161

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Solution

The third proportional to 156,656 and 288,161 is: 530,057.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,656 : 288,161 = 288,161 : x
  2. Step 2: Convert to fraction form
    156,656/288,161 = 288,161/x
  3. Step 3: Cross multiply
    156,656x = 288,161 × 288,161
  4. Step 4: Simplify right side
    156,656x = 83,036,761,921
  5. Step 5: Solve for x
    x = 83,036,761,921/156,656
  6. Step 6: Final answer
    x = 530,057.97

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.