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Finding the Third Proportional to 73,714 and 173,284

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Solution

The third proportional to 73,714 and 173,284 is: 407,349.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,714 : 173,284 = 173,284 : x
  2. Step 2: Convert to fraction form
    73,714/173,284 = 173,284/x
  3. Step 3: Cross multiply
    73,714x = 173,284 × 173,284
  4. Step 4: Simplify right side
    73,714x = 30,027,344,656
  5. Step 5: Solve for x
    x = 30,027,344,656/73,714
  6. Step 6: Final answer
    x = 407,349.28

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.