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Finding the Third Proportional to 110,292 and 233,584

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Solution

The third proportional to 110,292 and 233,584 is: 494,700.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,292 : 233,584 = 233,584 : x
  2. Step 2: Convert to fraction form
    110,292/233,584 = 233,584/x
  3. Step 3: Cross multiply
    110,292x = 233,584 × 233,584
  4. Step 4: Simplify right side
    110,292x = 54,561,485,056
  5. Step 5: Solve for x
    x = 54,561,485,056/110,292
  6. Step 6: Final answer
    x = 494,700.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.