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Finding the Third Proportional to 170,999 and 371,203

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Solution

The third proportional to 170,999 and 371,203 is: 805,803.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,999 : 371,203 = 371,203 : x
  2. Step 2: Convert to fraction form
    170,999/371,203 = 371,203/x
  3. Step 3: Cross multiply
    170,999x = 371,203 × 371,203
  4. Step 4: Simplify right side
    170,999x = 137,791,667,209
  5. Step 5: Solve for x
    x = 137,791,667,209/170,999
  6. Step 6: Final answer
    x = 805,803.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.