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Finding the Third Proportional to 77,889 and 169,446

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Solution

The third proportional to 77,889 and 169,446 is: 368,626.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,889 : 169,446 = 169,446 : x
  2. Step 2: Convert to fraction form
    77,889/169,446 = 169,446/x
  3. Step 3: Cross multiply
    77,889x = 169,446 × 169,446
  4. Step 4: Simplify right side
    77,889x = 28,711,946,916
  5. Step 5: Solve for x
    x = 28,711,946,916/77,889
  6. Step 6: Final answer
    x = 368,626.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.