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Finding the Third Proportional to 122,531 and 265,418

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Solution

The third proportional to 122,531 and 265,418 is: 574,929.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,531 : 265,418 = 265,418 : x
  2. Step 2: Convert to fraction form
    122,531/265,418 = 265,418/x
  3. Step 3: Cross multiply
    122,531x = 265,418 × 265,418
  4. Step 4: Simplify right side
    122,531x = 70,446,714,724
  5. Step 5: Solve for x
    x = 70,446,714,724/122,531
  6. Step 6: Final answer
    x = 574,929.73

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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.