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Finding the Third Proportional to 186,718 and 286,999

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Solution

The third proportional to 186,718 and 286,999 is: 441,138.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,718 : 286,999 = 286,999 : x
  2. Step 2: Convert to fraction form
    186,718/286,999 = 286,999/x
  3. Step 3: Cross multiply
    186,718x = 286,999 × 286,999
  4. Step 4: Simplify right side
    186,718x = 82,368,426,001
  5. Step 5: Solve for x
    x = 82,368,426,001/186,718
  6. Step 6: Final answer
    x = 441,138.11

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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.