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Finding the Third Proportional to 80,501.34 and 174,830.91

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Solution

The third proportional to 80,501.34 and 174,830.91 is: 379,693.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,501.34 : 174,830.91 = 174,830.91 : x
  2. Step 2: Convert to fraction form
    80,501.34/174,830.91 = 174,830.91/x
  3. Step 3: Cross multiply
    80,501.34x = 174,830.91 × 174,830.91
  4. Step 4: Simplify right side
    80,501.34x = 30,565,845,780.20
  5. Step 5: Solve for x
    x = 30,565,845,780.20/80,501.34
  6. Step 6: Final answer
    x = 379,693.61

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.