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Finding the Third Proportional to 78,178 and 168,520

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Solution

The third proportional to 78,178 and 168,520 is: 363,260.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,178 : 168,520 = 168,520 : x
  2. Step 2: Convert to fraction form
    78,178/168,520 = 168,520/x
  3. Step 3: Cross multiply
    78,178x = 168,520 × 168,520
  4. Step 4: Simplify right side
    78,178x = 28,398,990,400
  5. Step 5: Solve for x
    x = 28,398,990,400/78,178
  6. Step 6: Final answer
    x = 363,260.64

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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.