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Finding the Third Proportional to 109,983 and 240,987

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Solution

The third proportional to 109,983 and 240,987 is: 528,033.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,983 : 240,987 = 240,987 : x
  2. Step 2: Convert to fraction form
    109,983/240,987 = 240,987/x
  3. Step 3: Cross multiply
    109,983x = 240,987 × 240,987
  4. Step 4: Simplify right side
    109,983x = 58,074,734,169
  5. Step 5: Solve for x
    x = 58,074,734,169/109,983
  6. Step 6: Final answer
    x = 528,033.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.