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Finding the Third Proportional to 110,980.13 and 242,721.56

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Solution

The third proportional to 110,980.13 and 242,721.56 is: 530,849.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,980.13 : 242,721.56 = 242,721.56 : x
  2. Step 2: Convert to fraction form
    110,980.13/242,721.56 = 242,721.56/x
  3. Step 3: Cross multiply
    110,980.13x = 242,721.56 × 242,721.56
  4. Step 4: Simplify right side
    110,980.13x = 58,913,756,902.44
  5. Step 5: Solve for x
    x = 58,913,756,902.44/110,980.13
  6. Step 6: Final answer
    x = 530,849.62

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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.