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Finding the Third Proportional to 101,262 and 234,428.25

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Solution

The third proportional to 101,262 and 234,428.25 is: 542,716.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,262 : 234,428.25 = 234,428.25 : x
  2. Step 2: Convert to fraction form
    101,262/234,428.25 = 234,428.25/x
  3. Step 3: Cross multiply
    101,262x = 234,428.25 × 234,428.25
  4. Step 4: Simplify right side
    101,262x = 54,956,604,398.06
  5. Step 5: Solve for x
    x = 54,956,604,398.06/101,262
  6. Step 6: Final answer
    x = 542,716.96

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.