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Finding the Third Proportional to 186,119.44 and 278,434.13

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Solution

The third proportional to 186,119.44 and 278,434.13 is: 416,536.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,119.44 : 278,434.13 = 278,434.13 : x
  2. Step 2: Convert to fraction form
    186,119.44/278,434.13 = 278,434.13/x
  3. Step 3: Cross multiply
    186,119.44x = 278,434.13 × 278,434.13
  4. Step 4: Simplify right side
    186,119.44x = 77,525,561,964.52
  5. Step 5: Solve for x
    x = 77,525,561,964.52/186,119.44
  6. Step 6: Final answer
    x = 416,536.62

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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.