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Finding the Third Proportional to 186,585 and 279,583.50

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Solution

The third proportional to 186,585 and 279,583.50 is: 418,934.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,585 : 279,583.50 = 279,583.50 : x
  2. Step 2: Convert to fraction form
    186,585/279,583.50 = 279,583.50/x
  3. Step 3: Cross multiply
    186,585x = 279,583.50 × 279,583.50
  4. Step 4: Simplify right side
    186,585x = 78,166,933,472.25
  5. Step 5: Solve for x
    x = 78,166,933,472.25/186,585
  6. Step 6: Final answer
    x = 418,934.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.