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Finding the Third Proportional to 191,292.75 and 418,947.75

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Solution

The third proportional to 191,292.75 and 418,947.75 is: 917,531.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,292.75 : 418,947.75 = 418,947.75 : x
  2. Step 2: Convert to fraction form
    191,292.75/418,947.75 = 418,947.75/x
  3. Step 3: Cross multiply
    191,292.75x = 418,947.75 × 418,947.75
  4. Step 4: Simplify right side
    191,292.75x = 175,517,217,230.06
  5. Step 5: Solve for x
    x = 175,517,217,230.06/191,292.75
  6. Step 6: Final answer
    x = 917,531.99

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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.