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Finding the Third Proportional to 156,802 and 236,660

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Solution

The third proportional to 156,802 and 236,660 is: 357,189.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,802 : 236,660 = 236,660 : x
  2. Step 2: Convert to fraction form
    156,802/236,660 = 236,660/x
  3. Step 3: Cross multiply
    156,802x = 236,660 × 236,660
  4. Step 4: Simplify right side
    156,802x = 56,007,955,600
  5. Step 5: Solve for x
    x = 56,007,955,600/156,802
  6. Step 6: Final answer
    x = 357,189.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.