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Finding the Third Proportional to 141,384 and 292,610

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Solution

The third proportional to 141,384 and 292,610 is: 605,589.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,384 : 292,610 = 292,610 : x
  2. Step 2: Convert to fraction form
    141,384/292,610 = 292,610/x
  3. Step 3: Cross multiply
    141,384x = 292,610 × 292,610
  4. Step 4: Simplify right side
    141,384x = 85,620,612,100
  5. Step 5: Solve for x
    x = 85,620,612,100/141,384
  6. Step 6: Final answer
    x = 605,589.12

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.