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Finding the Third Proportional to 107,460 and 230,780

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Solution

The third proportional to 107,460 and 230,780 is: 495,620.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,460 : 230,780 = 230,780 : x
  2. Step 2: Convert to fraction form
    107,460/230,780 = 230,780/x
  3. Step 3: Cross multiply
    107,460x = 230,780 × 230,780
  4. Step 4: Simplify right side
    107,460x = 53,259,408,400
  5. Step 5: Solve for x
    x = 53,259,408,400/107,460
  6. Step 6: Final answer
    x = 495,620.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.