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Finding the Third Proportional to 122,152 and 265,188

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Solution

The third proportional to 122,152 and 265,188 is: 575,714.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,152 : 265,188 = 265,188 : x
  2. Step 2: Convert to fraction form
    122,152/265,188 = 265,188/x
  3. Step 3: Cross multiply
    122,152x = 265,188 × 265,188
  4. Step 4: Simplify right side
    122,152x = 70,324,675,344
  5. Step 5: Solve for x
    x = 70,324,675,344/122,152
  6. Step 6: Final answer
    x = 575,714.48

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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.