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Finding the Third Proportional to 186,650 and 286,887

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Solution

The third proportional to 186,650 and 286,887 is: 440,954.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,650 : 286,887 = 286,887 : x
  2. Step 2: Convert to fraction form
    186,650/286,887 = 286,887/x
  3. Step 3: Cross multiply
    186,650x = 286,887 × 286,887
  4. Step 4: Simplify right side
    186,650x = 82,304,150,769
  5. Step 5: Solve for x
    x = 82,304,150,769/186,650
  6. Step 6: Final answer
    x = 440,954.46

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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.