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Finding the Third Proportional to 110,980 and 242,687

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Solution

The third proportional to 110,980 and 242,687 is: 530,699.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,980 : 242,687 = 242,687 : x
  2. Step 2: Convert to fraction form
    110,980/242,687 = 242,687/x
  3. Step 3: Cross multiply
    110,980x = 242,687 × 242,687
  4. Step 4: Simplify right side
    110,980x = 58,896,979,969
  5. Step 5: Solve for x
    x = 58,896,979,969/110,980
  6. Step 6: Final answer
    x = 530,699.04

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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.