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Finding the Third Proportional to 111,265 and 240,349

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Solution

The third proportional to 111,265 and 240,349 is: 519,189.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,265 : 240,349 = 240,349 : x
  2. Step 2: Convert to fraction form
    111,265/240,349 = 240,349/x
  3. Step 3: Cross multiply
    111,265x = 240,349 × 240,349
  4. Step 4: Simplify right side
    111,265x = 57,767,641,801
  5. Step 5: Solve for x
    x = 57,767,641,801/111,265
  6. Step 6: Final answer
    x = 519,189.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.