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Finding the Third Proportional to 107,832 and 234,557

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Solution

The third proportional to 107,832 and 234,557 is: 510,210.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,832 : 234,557 = 234,557 : x
  2. Step 2: Convert to fraction form
    107,832/234,557 = 234,557/x
  3. Step 3: Cross multiply
    107,832x = 234,557 × 234,557
  4. Step 4: Simplify right side
    107,832x = 55,016,986,249
  5. Step 5: Solve for x
    x = 55,016,986,249/107,832
  6. Step 6: Final answer
    x = 510,210.20

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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.