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Finding the Third Proportional to 121,132 and 265,344

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Solution

The third proportional to 121,132 and 265,344 is: 581,245.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,132 : 265,344 = 265,344 : x
  2. Step 2: Convert to fraction form
    121,132/265,344 = 265,344/x
  3. Step 3: Cross multiply
    121,132x = 265,344 × 265,344
  4. Step 4: Simplify right side
    121,132x = 70,407,438,336
  5. Step 5: Solve for x
    x = 70,407,438,336/121,132
  6. Step 6: Final answer
    x = 581,245.57

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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.