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Finding the Third Proportional to 74,184 and 173,748

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Solution

The third proportional to 74,184 and 173,748 is: 406,939.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,184 : 173,748 = 173,748 : x
  2. Step 2: Convert to fraction form
    74,184/173,748 = 173,748/x
  3. Step 3: Cross multiply
    74,184x = 173,748 × 173,748
  4. Step 4: Simplify right side
    74,184x = 30,188,367,504
  5. Step 5: Solve for x
    x = 30,188,367,504/74,184
  6. Step 6: Final answer
    x = 406,939.06

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.