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Finding the Third Proportional to 110,443.50 and 266,267.25

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Solution

The third proportional to 110,443.50 and 266,267.25 is: 641,941.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,443.50 : 266,267.25 = 266,267.25 : x
  2. Step 2: Convert to fraction form
    110,443.50/266,267.25 = 266,267.25/x
  3. Step 3: Cross multiply
    110,443.50x = 266,267.25 × 266,267.25
  4. Step 4: Simplify right side
    110,443.50x = 70,898,248,422.56
  5. Step 5: Solve for x
    x = 70,898,248,422.56/110,443.50
  6. Step 6: Final answer
    x = 641,941.34

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.