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Finding the Third Proportional to 74,818 and 164,396

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Solution

The third proportional to 74,818 and 164,396 is: 361,223.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,818 : 164,396 = 164,396 : x
  2. Step 2: Convert to fraction form
    74,818/164,396 = 164,396/x
  3. Step 3: Cross multiply
    74,818x = 164,396 × 164,396
  4. Step 4: Simplify right side
    74,818x = 27,026,044,816
  5. Step 5: Solve for x
    x = 27,026,044,816/74,818
  6. Step 6: Final answer
    x = 361,223.83

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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.