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Finding the Third Proportional to 75,314 and 163,588

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Solution

The third proportional to 75,314 and 163,588 is: 355,326.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,314 : 163,588 = 163,588 : x
  2. Step 2: Convert to fraction form
    75,314/163,588 = 163,588/x
  3. Step 3: Cross multiply
    75,314x = 163,588 × 163,588
  4. Step 4: Simplify right side
    75,314x = 26,761,033,744
  5. Step 5: Solve for x
    x = 26,761,033,744/75,314
  6. Step 6: Final answer
    x = 355,326.15

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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.