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Finding the Third Proportional to 186,077.06 and 403,660.69

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Solution

The third proportional to 186,077.06 and 403,660.69 is: 875,669.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,077.06 : 403,660.69 = 403,660.69 : x
  2. Step 2: Convert to fraction form
    186,077.06/403,660.69 = 403,660.69/x
  3. Step 3: Cross multiply
    186,077.06x = 403,660.69 × 403,660.69
  4. Step 4: Simplify right side
    186,077.06x = 162,941,950,632.97
  5. Step 5: Solve for x
    x = 162,941,950,632.97/186,077.06
  6. Step 6: Final answer
    x = 875,669.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.