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Finding the Third Proportional to 121,296.75 and 263,210.25

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Solution

The third proportional to 121,296.75 and 263,210.25 is: 571,158.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,296.75 : 263,210.25 = 263,210.25 : x
  2. Step 2: Convert to fraction form
    121,296.75/263,210.25 = 263,210.25/x
  3. Step 3: Cross multiply
    121,296.75x = 263,210.25 × 263,210.25
  4. Step 4: Simplify right side
    121,296.75x = 69,279,635,705.06
  5. Step 5: Solve for x
    x = 69,279,635,705.06/121,296.75
  6. Step 6: Final answer
    x = 571,158.22

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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.