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Finding the Third Proportional to 105,772 and 220,292

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Solution

The third proportional to 105,772 and 220,292 is: 458,803.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,772 : 220,292 = 220,292 : x
  2. Step 2: Convert to fraction form
    105,772/220,292 = 220,292/x
  3. Step 3: Cross multiply
    105,772x = 220,292 × 220,292
  4. Step 4: Simplify right side
    105,772x = 48,528,565,264
  5. Step 5: Solve for x
    x = 48,528,565,264/105,772
  6. Step 6: Final answer
    x = 458,803.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.