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Finding the Third Proportional to 77,915 and 170,410

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Solution

The third proportional to 77,915 and 170,410 is: 372,708.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,915 : 170,410 = 170,410 : x
  2. Step 2: Convert to fraction form
    77,915/170,410 = 170,410/x
  3. Step 3: Cross multiply
    77,915x = 170,410 × 170,410
  4. Step 4: Simplify right side
    77,915x = 29,039,568,100
  5. Step 5: Solve for x
    x = 29,039,568,100/77,915
  6. Step 6: Final answer
    x = 372,708.31

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