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Finding the Third Proportional to 121,235 and 263,206

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Solution

The third proportional to 121,235 and 263,206 is: 571,430.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,235 : 263,206 = 263,206 : x
  2. Step 2: Convert to fraction form
    121,235/263,206 = 263,206/x
  3. Step 3: Cross multiply
    121,235x = 263,206 × 263,206
  4. Step 4: Simplify right side
    121,235x = 69,277,398,436
  5. Step 5: Solve for x
    x = 69,277,398,436/121,235
  6. Step 6: Final answer
    x = 571,430.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.