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Finding the Third Proportional to 110,768 and 242,980

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Solution

The third proportional to 110,768 and 242,980 is: 532,999.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,768 : 242,980 = 242,980 : x
  2. Step 2: Convert to fraction form
    110,768/242,980 = 242,980/x
  3. Step 3: Cross multiply
    110,768x = 242,980 × 242,980
  4. Step 4: Simplify right side
    110,768x = 59,039,280,400
  5. Step 5: Solve for x
    x = 59,039,280,400/110,768
  6. Step 6: Final answer
    x = 532,999.43

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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.