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Finding the Third Proportional to 107,757 and 234,396

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Solution

The third proportional to 107,757 and 234,396 is: 509,864.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,757 : 234,396 = 234,396 : x
  2. Step 2: Convert to fraction form
    107,757/234,396 = 234,396/x
  3. Step 3: Cross multiply
    107,757x = 234,396 × 234,396
  4. Step 4: Simplify right side
    107,757x = 54,941,484,816
  5. Step 5: Solve for x
    x = 54,941,484,816/107,757
  6. Step 6: Final answer
    x = 509,864.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.