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Finding the Third Proportional to 186,549 and 399,713.50

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Solution

The third proportional to 186,549 and 399,713.50 is: 856,455.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,549 : 399,713.50 = 399,713.50 : x
  2. Step 2: Convert to fraction form
    186,549/399,713.50 = 399,713.50/x
  3. Step 3: Cross multiply
    186,549x = 399,713.50 × 399,713.50
  4. Step 4: Simplify right side
    186,549x = 159,770,882,082.25
  5. Step 5: Solve for x
    x = 159,770,882,082.25/186,549
  6. Step 6: Final answer
    x = 856,455.31

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Why These Related Problems?

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