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Finding the Third Proportional to 121,008 and 263,012

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Solution

The third proportional to 121,008 and 263,012 is: 571,659.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,008 : 263,012 = 263,012 : x
  2. Step 2: Convert to fraction form
    121,008/263,012 = 263,012/x
  3. Step 3: Cross multiply
    121,008x = 263,012 × 263,012
  4. Step 4: Simplify right side
    121,008x = 69,175,312,144
  5. Step 5: Solve for x
    x = 69,175,312,144/121,008
  6. Step 6: Final answer
    x = 571,659.00

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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.