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Finding the Third Proportional to 186,984 and 290,079

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Solution

The third proportional to 186,984 and 290,079 is: 450,016.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,984 : 290,079 = 290,079 : x
  2. Step 2: Convert to fraction form
    186,984/290,079 = 290,079/x
  3. Step 3: Cross multiply
    186,984x = 290,079 × 290,079
  4. Step 4: Simplify right side
    186,984x = 84,145,826,241
  5. Step 5: Solve for x
    x = 84,145,826,241/186,984
  6. Step 6: Final answer
    x = 450,016.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.