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Finding the Third Proportional to 156,832.88 and 229,780.13

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Solution

The third proportional to 156,832.88 and 229,780.13 is: 336,657.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,832.88 : 229,780.13 = 229,780.13 : x
  2. Step 2: Convert to fraction form
    156,832.88/229,780.13 = 229,780.13/x
  3. Step 3: Cross multiply
    156,832.88x = 229,780.13 × 229,780.13
  4. Step 4: Simplify right side
    156,832.88x = 52,798,905,845.02
  5. Step 5: Solve for x
    x = 52,798,905,845.02/156,832.88
  6. Step 6: Final answer
    x = 336,657.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.