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Finding the Third Proportional to 77,882.50 and 169,434

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Solution

The third proportional to 77,882.50 and 169,434 is: 368,605.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,882.50 : 169,434 = 169,434 : x
  2. Step 2: Convert to fraction form
    77,882.50/169,434 = 169,434/x
  3. Step 3: Cross multiply
    77,882.50x = 169,434 × 169,434
  4. Step 4: Simplify right side
    77,882.50x = 28,707,880,356
  5. Step 5: Solve for x
    x = 28,707,880,356/77,882.50
  6. Step 6: Final answer
    x = 368,605.02

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