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Finding the Third Proportional to 75,298 and 163,714

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Solution

The third proportional to 75,298 and 163,714 is: 355,949.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,298 : 163,714 = 163,714 : x
  2. Step 2: Convert to fraction form
    75,298/163,714 = 163,714/x
  3. Step 3: Cross multiply
    75,298x = 163,714 × 163,714
  4. Step 4: Simplify right side
    75,298x = 26,802,273,796
  5. Step 5: Solve for x
    x = 26,802,273,796/75,298
  6. Step 6: Final answer
    x = 355,949.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.