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Finding the Third Proportional to 121,044 and 265,980

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Solution

The third proportional to 121,044 and 265,980 is: 584,459.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,044 : 265,980 = 265,980 : x
  2. Step 2: Convert to fraction form
    121,044/265,980 = 265,980/x
  3. Step 3: Cross multiply
    121,044x = 265,980 × 265,980
  4. Step 4: Simplify right side
    121,044x = 70,745,360,400
  5. Step 5: Solve for x
    x = 70,745,360,400/121,044
  6. Step 6: Final answer
    x = 584,459.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.