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Finding the Third Proportional to 121,222 and 257,996

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Solution

The third proportional to 121,222 and 257,996 is: 549,091.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,222 : 257,996 = 257,996 : x
  2. Step 2: Convert to fraction form
    121,222/257,996 = 257,996/x
  3. Step 3: Cross multiply
    121,222x = 257,996 × 257,996
  4. Step 4: Simplify right side
    121,222x = 66,561,936,016
  5. Step 5: Solve for x
    x = 66,561,936,016/121,222
  6. Step 6: Final answer
    x = 549,091.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.