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Finding the Third Proportional to 110,844.75 and 237,439.50

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Solution

The third proportional to 110,844.75 and 237,439.50 is: 508,616.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,844.75 : 237,439.50 = 237,439.50 : x
  2. Step 2: Convert to fraction form
    110,844.75/237,439.50 = 237,439.50/x
  3. Step 3: Cross multiply
    110,844.75x = 237,439.50 × 237,439.50
  4. Step 4: Simplify right side
    110,844.75x = 56,377,516,160.25
  5. Step 5: Solve for x
    x = 56,377,516,160.25/110,844.75
  6. Step 6: Final answer
    x = 508,616.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.