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Finding the Third Proportional to 75,808 and 163,680

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Solution

The third proportional to 75,808 and 163,680 is: 353,407.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,808 : 163,680 = 163,680 : x
  2. Step 2: Convert to fraction form
    75,808/163,680 = 163,680/x
  3. Step 3: Cross multiply
    75,808x = 163,680 × 163,680
  4. Step 4: Simplify right side
    75,808x = 26,791,142,400
  5. Step 5: Solve for x
    x = 26,791,142,400/75,808
  6. Step 6: Final answer
    x = 353,407.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.