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Finding the Third Proportional to 186,382.13 and 286,902

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Solution

The third proportional to 186,382.13 and 286,902 is: 441,634.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,382.13 : 286,902 = 286,902 : x
  2. Step 2: Convert to fraction form
    186,382.13/286,902 = 286,902/x
  3. Step 3: Cross multiply
    186,382.13x = 286,902 × 286,902
  4. Step 4: Simplify right side
    186,382.13x = 82,312,757,604
  5. Step 5: Solve for x
    x = 82,312,757,604/186,382.13
  6. Step 6: Final answer
    x = 441,634.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.