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Finding the Third Proportional to 106,293 and 233,320

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Solution

The third proportional to 106,293 and 233,320 is: 512,152.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,293 : 233,320 = 233,320 : x
  2. Step 2: Convert to fraction form
    106,293/233,320 = 233,320/x
  3. Step 3: Cross multiply
    106,293x = 233,320 × 233,320
  4. Step 4: Simplify right side
    106,293x = 54,438,222,400
  5. Step 5: Solve for x
    x = 54,438,222,400/106,293
  6. Step 6: Final answer
    x = 512,152.47

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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.