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Finding the Third Proportional to 177,233.63 and 264,691.13

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Solution

The third proportional to 177,233.63 and 264,691.13 is: 395,305.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,233.63 : 264,691.13 = 264,691.13 : x
  2. Step 2: Convert to fraction form
    177,233.63/264,691.13 = 264,691.13/x
  3. Step 3: Cross multiply
    177,233.63x = 264,691.13 × 264,691.13
  4. Step 4: Simplify right side
    177,233.63x = 70,061,391,653.77
  5. Step 5: Solve for x
    x = 70,061,391,653.77/177,233.63
  6. Step 6: Final answer
    x = 395,305.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.