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Finding the Third Proportional to 156,797 and 236,654

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Solution

The third proportional to 156,797 and 236,654 is: 357,182.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,797 : 236,654 = 236,654 : x
  2. Step 2: Convert to fraction form
    156,797/236,654 = 236,654/x
  3. Step 3: Cross multiply
    156,797x = 236,654 × 236,654
  4. Step 4: Simplify right side
    156,797x = 56,005,115,716
  5. Step 5: Solve for x
    x = 56,005,115,716/156,797
  6. Step 6: Final answer
    x = 357,182.32

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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.