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Finding the Third Proportional to 102,367 and 221,501

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Solution

The third proportional to 102,367 and 221,501 is: 479,282.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,367 : 221,501 = 221,501 : x
  2. Step 2: Convert to fraction form
    102,367/221,501 = 221,501/x
  3. Step 3: Cross multiply
    102,367x = 221,501 × 221,501
  4. Step 4: Simplify right side
    102,367x = 49,062,693,001
  5. Step 5: Solve for x
    x = 49,062,693,001/102,367
  6. Step 6: Final answer
    x = 479,282.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.