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Finding the Third Proportional to 170,051 and 370,720

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Solution

The third proportional to 170,051 and 370,720 is: 808,188.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,051 : 370,720 = 370,720 : x
  2. Step 2: Convert to fraction form
    170,051/370,720 = 370,720/x
  3. Step 3: Cross multiply
    170,051x = 370,720 × 370,720
  4. Step 4: Simplify right side
    170,051x = 137,433,318,400
  5. Step 5: Solve for x
    x = 137,433,318,400/170,051
  6. Step 6: Final answer
    x = 808,188.83

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Why These Related Problems?

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