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Finding the Third Proportional to 170,282 and 370,039

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Solution

The third proportional to 170,282 and 370,039 is: 804,129.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,282 : 370,039 = 370,039 : x
  2. Step 2: Convert to fraction form
    170,282/370,039 = 370,039/x
  3. Step 3: Cross multiply
    170,282x = 370,039 × 370,039
  4. Step 4: Simplify right side
    170,282x = 136,928,861,521
  5. Step 5: Solve for x
    x = 136,928,861,521/170,282
  6. Step 6: Final answer
    x = 804,129.98

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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.