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Finding the Third Proportional to 78,177.38 and 170,690.63

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Solution

The third proportional to 78,177.38 and 170,690.63 is: 372,681.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,177.38 : 170,690.63 = 170,690.63 : x
  2. Step 2: Convert to fraction form
    78,177.38/170,690.63 = 170,690.63/x
  3. Step 3: Cross multiply
    78,177.38x = 170,690.63 × 170,690.63
  4. Step 4: Simplify right side
    78,177.38x = 29,135,289,462.89
  5. Step 5: Solve for x
    x = 29,135,289,462.89/78,177.38
  6. Step 6: Final answer
    x = 372,681.86

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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.