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Finding the Third Proportional to 161,997.47 and 353,473.88

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Solution

The third proportional to 161,997.47 and 353,473.88 is: 771,269.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,997.47 : 353,473.88 = 353,473.88 : x
  2. Step 2: Convert to fraction form
    161,997.47/353,473.88 = 353,473.88/x
  3. Step 3: Cross multiply
    161,997.47x = 353,473.88 × 353,473.88
  4. Step 4: Simplify right side
    161,997.47x = 124,943,780,307.52
  5. Step 5: Solve for x
    x = 124,943,780,307.52/161,997.47
  6. Step 6: Final answer
    x = 771,269.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.