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Finding the Third Proportional to 107,496 and 233,396

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Solution

The third proportional to 107,496 and 233,396 is: 506,750.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,496 : 233,396 = 233,396 : x
  2. Step 2: Convert to fraction form
    107,496/233,396 = 233,396/x
  3. Step 3: Cross multiply
    107,496x = 233,396 × 233,396
  4. Step 4: Simplify right side
    107,496x = 54,473,692,816
  5. Step 5: Solve for x
    x = 54,473,692,816/107,496
  6. Step 6: Final answer
    x = 506,750.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.