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Finding the Third Proportional to 186,850.13 and 290,116.69

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Solution

The third proportional to 186,850.13 and 290,116.69 is: 450,455.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,850.13 : 290,116.69 = 290,116.69 : x
  2. Step 2: Convert to fraction form
    186,850.13/290,116.69 = 290,116.69/x
  3. Step 3: Cross multiply
    186,850.13x = 290,116.69 × 290,116.69
  4. Step 4: Simplify right side
    186,850.13x = 84,167,692,365.97
  5. Step 5: Solve for x
    x = 84,167,692,365.97/186,850.13
  6. Step 6: Final answer
    x = 450,455.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.