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Finding the Third Proportional to 176,671.13 and 386,344.13

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Solution

The third proportional to 176,671.13 and 386,344.13 is: 844,856.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,671.13 : 386,344.13 = 386,344.13 : x
  2. Step 2: Convert to fraction form
    176,671.13/386,344.13 = 386,344.13/x
  3. Step 3: Cross multiply
    176,671.13x = 386,344.13 × 386,344.13
  4. Step 4: Simplify right side
    176,671.13x = 149,261,782,922.02
  5. Step 5: Solve for x
    x = 149,261,782,922.02/176,671.13
  6. Step 6: Final answer
    x = 844,856.70

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.