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Finding the Third Proportional to 103,292 and 221,650

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Solution

The third proportional to 103,292 and 221,650 is: 475,629.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,292 : 221,650 = 221,650 : x
  2. Step 2: Convert to fraction form
    103,292/221,650 = 221,650/x
  3. Step 3: Cross multiply
    103,292x = 221,650 × 221,650
  4. Step 4: Simplify right side
    103,292x = 49,128,722,500
  5. Step 5: Solve for x
    x = 49,128,722,500/103,292
  6. Step 6: Final answer
    x = 475,629.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.