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Finding the Third Proportional to 78,190 and 168,548

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Solution

The third proportional to 78,190 and 168,548 is: 363,325.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,190 : 168,548 = 168,548 : x
  2. Step 2: Convert to fraction form
    78,190/168,548 = 168,548/x
  3. Step 3: Cross multiply
    78,190x = 168,548 × 168,548
  4. Step 4: Simplify right side
    78,190x = 28,408,428,304
  5. Step 5: Solve for x
    x = 28,408,428,304/78,190
  6. Step 6: Final answer
    x = 363,325.60

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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.