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Finding the Third Proportional to 186,540 and 290,976

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Solution

The third proportional to 186,540 and 290,976 is: 453,881.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,540 : 290,976 = 290,976 : x
  2. Step 2: Convert to fraction form
    186,540/290,976 = 290,976/x
  3. Step 3: Cross multiply
    186,540x = 290,976 × 290,976
  4. Step 4: Simplify right side
    186,540x = 84,667,032,576
  5. Step 5: Solve for x
    x = 84,667,032,576/186,540
  6. Step 6: Final answer
    x = 453,881.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.