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Finding the Third Proportional to 177,562.13 and 380,104.31

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Solution

The third proportional to 177,562.13 and 380,104.31 is: 813,683.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,562.13 : 380,104.31 = 380,104.31 : x
  2. Step 2: Convert to fraction form
    177,562.13/380,104.31 = 380,104.31/x
  3. Step 3: Cross multiply
    177,562.13x = 380,104.31 × 380,104.31
  4. Step 4: Simplify right side
    177,562.13x = 144,479,288,381.10
  5. Step 5: Solve for x
    x = 144,479,288,381.10/177,562.13
  6. Step 6: Final answer
    x = 813,683.03

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.