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Finding the Third Proportional to 78,048 and 169,344

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Solution

The third proportional to 78,048 and 169,344 is: 367,432.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,048 : 169,344 = 169,344 : x
  2. Step 2: Convert to fraction form
    78,048/169,344 = 169,344/x
  3. Step 3: Cross multiply
    78,048x = 169,344 × 169,344
  4. Step 4: Simplify right side
    78,048x = 28,677,390,336
  5. Step 5: Solve for x
    x = 28,677,390,336/78,048
  6. Step 6: Final answer
    x = 367,432.74

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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.