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Finding the Third Proportional to 105,432 and 226,992

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Solution

The third proportional to 105,432 and 226,992 is: 488,707.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,432 : 226,992 = 226,992 : x
  2. Step 2: Convert to fraction form
    105,432/226,992 = 226,992/x
  3. Step 3: Cross multiply
    105,432x = 226,992 × 226,992
  4. Step 4: Simplify right side
    105,432x = 51,525,368,064
  5. Step 5: Solve for x
    x = 51,525,368,064/105,432
  6. Step 6: Final answer
    x = 488,707.11

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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.