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Finding the Third Proportional to 179,632 and 370,928

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Solution

The third proportional to 179,632 and 370,928 is: 765,941.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,632 : 370,928 = 370,928 : x
  2. Step 2: Convert to fraction form
    179,632/370,928 = 370,928/x
  3. Step 3: Cross multiply
    179,632x = 370,928 × 370,928
  4. Step 4: Simplify right side
    179,632x = 137,587,581,184
  5. Step 5: Solve for x
    x = 137,587,581,184/179,632
  6. Step 6: Final answer
    x = 765,941.38

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.