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Finding the Third Proportional to 98,571 and 223,464

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Solution

The third proportional to 98,571 and 223,464 is: 506,600.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,571 : 223,464 = 223,464 : x
  2. Step 2: Convert to fraction form
    98,571/223,464 = 223,464/x
  3. Step 3: Cross multiply
    98,571x = 223,464 × 223,464
  4. Step 4: Simplify right side
    98,571x = 49,936,159,296
  5. Step 5: Solve for x
    x = 49,936,159,296/98,571
  6. Step 6: Final answer
    x = 506,600.92

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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.