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Finding the Third Proportional to 186,716 and 286,996

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Solution

The third proportional to 186,716 and 286,996 is: 441,133.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,716 : 286,996 = 286,996 : x
  2. Step 2: Convert to fraction form
    186,716/286,996 = 286,996/x
  3. Step 3: Cross multiply
    186,716x = 286,996 × 286,996
  4. Step 4: Simplify right side
    186,716x = 82,366,704,016
  5. Step 5: Solve for x
    x = 82,366,704,016/186,716
  6. Step 6: Final answer
    x = 441,133.61

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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.