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Finding the Third Proportional to 178,732 and 372,165

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Solution

The third proportional to 178,732 and 372,165 is: 774,941.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,732 : 372,165 = 372,165 : x
  2. Step 2: Convert to fraction form
    178,732/372,165 = 372,165/x
  3. Step 3: Cross multiply
    178,732x = 372,165 × 372,165
  4. Step 4: Simplify right side
    178,732x = 138,506,787,225
  5. Step 5: Solve for x
    x = 138,506,787,225/178,732
  6. Step 6: Final answer
    x = 774,941.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.