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Finding the Third Proportional to 110,964.94 and 242,691.19

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Solution

The third proportional to 110,964.94 and 242,691.19 is: 530,789.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,964.94 : 242,691.19 = 242,691.19 : x
  2. Step 2: Convert to fraction form
    110,964.94/242,691.19 = 242,691.19/x
  3. Step 3: Cross multiply
    110,964.94x = 242,691.19 × 242,691.19
  4. Step 4: Simplify right side
    110,964.94x = 58,899,012,490.16
  5. Step 5: Solve for x
    x = 58,899,012,490.16/110,964.94
  6. Step 6: Final answer
    x = 530,789.40

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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.