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Finding the Third Proportional to 105,912 and 233,307

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Solution

The third proportional to 105,912 and 233,307 is: 513,937.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,912 : 233,307 = 233,307 : x
  2. Step 2: Convert to fraction form
    105,912/233,307 = 233,307/x
  3. Step 3: Cross multiply
    105,912x = 233,307 × 233,307
  4. Step 4: Simplify right side
    105,912x = 54,432,156,249
  5. Step 5: Solve for x
    x = 54,432,156,249/105,912
  6. Step 6: Final answer
    x = 513,937.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.