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Finding the Third Proportional to 215,471.50 and 458,177

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Solution

The third proportional to 215,471.50 and 458,177 is: 974,264.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,471.50 : 458,177 = 458,177 : x
  2. Step 2: Convert to fraction form
    215,471.50/458,177 = 458,177/x
  3. Step 3: Cross multiply
    215,471.50x = 458,177 × 458,177
  4. Step 4: Simplify right side
    215,471.50x = 209,926,163,329
  5. Step 5: Solve for x
    x = 209,926,163,329/215,471.50
  6. Step 6: Final answer
    x = 974,264.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.