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Finding the Third Proportional to 77,708 and 169,254

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Solution

The third proportional to 77,708 and 169,254 is: 368,648.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,708 : 169,254 = 169,254 : x
  2. Step 2: Convert to fraction form
    77,708/169,254 = 169,254/x
  3. Step 3: Cross multiply
    77,708x = 169,254 × 169,254
  4. Step 4: Simplify right side
    77,708x = 28,646,916,516
  5. Step 5: Solve for x
    x = 28,646,916,516/77,708
  6. Step 6: Final answer
    x = 368,648.23

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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.