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Finding the Third Proportional to 77,857 and 170,253

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Solution

The third proportional to 77,857 and 170,253 is: 372,299.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,857 : 170,253 = 170,253 : x
  2. Step 2: Convert to fraction form
    77,857/170,253 = 170,253/x
  3. Step 3: Cross multiply
    77,857x = 170,253 × 170,253
  4. Step 4: Simplify right side
    77,857x = 28,986,084,009
  5. Step 5: Solve for x
    x = 28,986,084,009/77,857
  6. Step 6: Final answer
    x = 372,299.01

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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.