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Finding the Third Proportional to 113,521 and 240,879

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Solution

The third proportional to 113,521 and 240,879 is: 511,118.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,521 : 240,879 = 240,879 : x
  2. Step 2: Convert to fraction form
    113,521/240,879 = 240,879/x
  3. Step 3: Cross multiply
    113,521x = 240,879 × 240,879
  4. Step 4: Simplify right side
    113,521x = 58,022,692,641
  5. Step 5: Solve for x
    x = 58,022,692,641/113,521
  6. Step 6: Final answer
    x = 511,118.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.