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Finding the Third Proportional to 106,442 and 233,620

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Solution

The third proportional to 106,442 and 233,620 is: 512,751.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,442 : 233,620 = 233,620 : x
  2. Step 2: Convert to fraction form
    106,442/233,620 = 233,620/x
  3. Step 3: Cross multiply
    106,442x = 233,620 × 233,620
  4. Step 4: Simplify right side
    106,442x = 54,578,304,400
  5. Step 5: Solve for x
    x = 54,578,304,400/106,442
  6. Step 6: Final answer
    x = 512,751.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.