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Finding the Third Proportional to 164,531 and 248,822

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Solution

The third proportional to 164,531 and 248,822 is: 376,296.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,531 : 248,822 = 248,822 : x
  2. Step 2: Convert to fraction form
    164,531/248,822 = 248,822/x
  3. Step 3: Cross multiply
    164,531x = 248,822 × 248,822
  4. Step 4: Simplify right side
    164,531x = 61,912,387,684
  5. Step 5: Solve for x
    x = 61,912,387,684/164,531
  6. Step 6: Final answer
    x = 376,296.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.