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Finding the Third Proportional to 109,282 and 240,242

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Solution

The third proportional to 109,282 and 240,242 is: 528,140.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,282 : 240,242 = 240,242 : x
  2. Step 2: Convert to fraction form
    109,282/240,242 = 240,242/x
  3. Step 3: Cross multiply
    109,282x = 240,242 × 240,242
  4. Step 4: Simplify right side
    109,282x = 57,716,218,564
  5. Step 5: Solve for x
    x = 57,716,218,564/109,282
  6. Step 6: Final answer
    x = 528,140.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.