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Finding the Third Proportional to 186,674.98 and 407,248.52

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Solution

The third proportional to 186,674.98 and 407,248.52 is: 888,449.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,674.98 : 407,248.52 = 407,248.52 : x
  2. Step 2: Convert to fraction form
    186,674.98/407,248.52 = 407,248.52/x
  3. Step 3: Cross multiply
    186,674.98x = 407,248.52 × 407,248.52
  4. Step 4: Simplify right side
    186,674.98x = 165,851,359,842.02
  5. Step 5: Solve for x
    x = 165,851,359,842.02/186,674.98
  6. Step 6: Final answer
    x = 888,449.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.