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Finding the Third Proportional to 80,288.72 and 174,876.47

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Solution

The third proportional to 80,288.72 and 174,876.47 is: 380,897.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,288.72 : 174,876.47 = 174,876.47 : x
  2. Step 2: Convert to fraction form
    80,288.72/174,876.47 = 174,876.47/x
  3. Step 3: Cross multiply
    80,288.72x = 174,876.47 × 174,876.47
  4. Step 4: Simplify right side
    80,288.72x = 30,581,779,322.47
  5. Step 5: Solve for x
    x = 30,581,779,322.47/80,288.72
  6. Step 6: Final answer
    x = 380,897.59

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