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Finding the Third Proportional to 110,788 and 240,368

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Solution

The third proportional to 110,788 and 240,368 is: 521,507.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,788 : 240,368 = 240,368 : x
  2. Step 2: Convert to fraction form
    110,788/240,368 = 240,368/x
  3. Step 3: Cross multiply
    110,788x = 240,368 × 240,368
  4. Step 4: Simplify right side
    110,788x = 57,776,775,424
  5. Step 5: Solve for x
    x = 57,776,775,424/110,788
  6. Step 6: Final answer
    x = 521,507.52

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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.