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Finding the Third Proportional to 121,934 and 266,212

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Solution

The third proportional to 121,934 and 266,212 is: 581,206.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,934 : 266,212 = 266,212 : x
  2. Step 2: Convert to fraction form
    121,934/266,212 = 266,212/x
  3. Step 3: Cross multiply
    121,934x = 266,212 × 266,212
  4. Step 4: Simplify right side
    121,934x = 70,868,828,944
  5. Step 5: Solve for x
    x = 70,868,828,944/121,934
  6. Step 6: Final answer
    x = 581,206.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.