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Finding the Third Proportional to 77,277 and 169,317

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Solution

The third proportional to 77,277 and 169,317 is: 370,980.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,277 : 169,317 = 169,317 : x
  2. Step 2: Convert to fraction form
    77,277/169,317 = 169,317/x
  3. Step 3: Cross multiply
    77,277x = 169,317 × 169,317
  4. Step 4: Simplify right side
    77,277x = 28,668,246,489
  5. Step 5: Solve for x
    x = 28,668,246,489/77,277
  6. Step 6: Final answer
    x = 370,980.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.