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Finding the Third Proportional to 122,956 and 265,288

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Solution

The third proportional to 122,956 and 265,288 is: 572,381.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,956 : 265,288 = 265,288 : x
  2. Step 2: Convert to fraction form
    122,956/265,288 = 265,288/x
  3. Step 3: Cross multiply
    122,956x = 265,288 × 265,288
  4. Step 4: Simplify right side
    122,956x = 70,377,722,944
  5. Step 5: Solve for x
    x = 70,377,722,944/122,956
  6. Step 6: Final answer
    x = 572,381.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.