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Finding the Third Proportional to 121,122 and 265,329

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Solution

The third proportional to 121,122 and 265,329 is: 581,227.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,122 : 265,329 = 265,329 : x
  2. Step 2: Convert to fraction form
    121,122/265,329 = 265,329/x
  3. Step 3: Cross multiply
    121,122x = 265,329 × 265,329
  4. Step 4: Simplify right side
    121,122x = 70,399,478,241
  5. Step 5: Solve for x
    x = 70,399,478,241/121,122
  6. Step 6: Final answer
    x = 581,227.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.