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Finding the Third Proportional to 121,174 and 266,410

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Solution

The third proportional to 121,174 and 266,410 is: 585,722.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,174 : 266,410 = 266,410 : x
  2. Step 2: Convert to fraction form
    121,174/266,410 = 266,410/x
  3. Step 3: Cross multiply
    121,174x = 266,410 × 266,410
  4. Step 4: Simplify right side
    121,174x = 70,974,288,100
  5. Step 5: Solve for x
    x = 70,974,288,100/121,174
  6. Step 6: Final answer
    x = 585,722.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.