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Finding the Third Proportional to 113,405 and 246,514

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Solution

The third proportional to 113,405 and 246,514 is: 535,859.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,405 : 246,514 = 246,514 : x
  2. Step 2: Convert to fraction form
    113,405/246,514 = 246,514/x
  3. Step 3: Cross multiply
    113,405x = 246,514 × 246,514
  4. Step 4: Simplify right side
    113,405x = 60,769,152,196
  5. Step 5: Solve for x
    x = 60,769,152,196/113,405
  6. Step 6: Final answer
    x = 535,859.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.