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Finding the Third Proportional to 110,446.50 and 266,274

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Solution

The third proportional to 110,446.50 and 266,274 is: 641,956.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,446.50 : 266,274 = 266,274 : x
  2. Step 2: Convert to fraction form
    110,446.50/266,274 = 266,274/x
  3. Step 3: Cross multiply
    110,446.50x = 266,274 × 266,274
  4. Step 4: Simplify right side
    110,446.50x = 70,901,843,076
  5. Step 5: Solve for x
    x = 70,901,843,076/110,446.50
  6. Step 6: Final answer
    x = 641,956.45

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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.