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Finding the Third Proportional to 102,361 and 221,488

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Solution

The third proportional to 102,361 and 221,488 is: 479,254.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,361 : 221,488 = 221,488 : x
  2. Step 2: Convert to fraction form
    102,361/221,488 = 221,488/x
  3. Step 3: Cross multiply
    102,361x = 221,488 × 221,488
  4. Step 4: Simplify right side
    102,361x = 49,056,934,144
  5. Step 5: Solve for x
    x = 49,056,934,144/102,361
  6. Step 6: Final answer
    x = 479,254.15

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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.