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Finding the Third Proportional to 74,488 and 170,179

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Solution

The third proportional to 74,488 and 170,179 is: 388,799.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,488 : 170,179 = 170,179 : x
  2. Step 2: Convert to fraction form
    74,488/170,179 = 170,179/x
  3. Step 3: Cross multiply
    74,488x = 170,179 × 170,179
  4. Step 4: Simplify right side
    74,488x = 28,960,892,041
  5. Step 5: Solve for x
    x = 28,960,892,041/74,488
  6. Step 6: Final answer
    x = 388,799.43

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.