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Finding the Third Proportional to 186,479.50 and 407,115.50

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Solution

The third proportional to 186,479.50 and 407,115.50 is: 888,800.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,479.50 : 407,115.50 = 407,115.50 : x
  2. Step 2: Convert to fraction form
    186,479.50/407,115.50 = 407,115.50/x
  3. Step 3: Cross multiply
    186,479.50x = 407,115.50 × 407,115.50
  4. Step 4: Simplify right side
    186,479.50x = 165,743,030,340.25
  5. Step 5: Solve for x
    x = 165,743,030,340.25/186,479.50
  6. Step 6: Final answer
    x = 888,800.27

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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.