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Finding the Third Proportional to 80,286.75 and 174,875.06

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Solution

The third proportional to 80,286.75 and 174,875.06 is: 380,900.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,286.75 : 174,875.06 = 174,875.06 : x
  2. Step 2: Convert to fraction form
    80,286.75/174,875.06 = 174,875.06/x
  3. Step 3: Cross multiply
    80,286.75x = 174,875.06 × 174,875.06
  4. Step 4: Simplify right side
    80,286.75x = 30,581,287,484.38
  5. Step 5: Solve for x
    x = 30,581,287,484.38/80,286.75
  6. Step 6: Final answer
    x = 380,900.80

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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.