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Finding the Third Proportional to 74,644 and 164,048

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Solution

The third proportional to 74,644 and 164,048 is: 360,534.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,644 : 164,048 = 164,048 : x
  2. Step 2: Convert to fraction form
    74,644/164,048 = 164,048/x
  3. Step 3: Cross multiply
    74,644x = 164,048 × 164,048
  4. Step 4: Simplify right side
    74,644x = 26,911,746,304
  5. Step 5: Solve for x
    x = 26,911,746,304/74,644
  6. Step 6: Final answer
    x = 360,534.62

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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.