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Finding the Third Proportional to 107,760 and 234,402

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Solution

The third proportional to 107,760 and 234,402 is: 509,876.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,760 : 234,402 = 234,402 : x
  2. Step 2: Convert to fraction form
    107,760/234,402 = 234,402/x
  3. Step 3: Cross multiply
    107,760x = 234,402 × 234,402
  4. Step 4: Simplify right side
    107,760x = 54,944,297,604
  5. Step 5: Solve for x
    x = 54,944,297,604/107,760
  6. Step 6: Final answer
    x = 509,876.56

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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.