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Finding the Third Proportional to 98,539 and 223,382

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Solution

The third proportional to 98,539 and 223,382 is: 506,393.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,539 : 223,382 = 223,382 : x
  2. Step 2: Convert to fraction form
    98,539/223,382 = 223,382/x
  3. Step 3: Cross multiply
    98,539x = 223,382 × 223,382
  4. Step 4: Simplify right side
    98,539x = 49,899,517,924
  5. Step 5: Solve for x
    x = 49,899,517,924/98,539
  6. Step 6: Final answer
    x = 506,393.59

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.