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Finding the Third Proportional to 181,452 and 392,112

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Solution

The third proportional to 181,452 and 392,112 is: 847,341.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,452 : 392,112 = 392,112 : x
  2. Step 2: Convert to fraction form
    181,452/392,112 = 392,112/x
  3. Step 3: Cross multiply
    181,452x = 392,112 × 392,112
  4. Step 4: Simplify right side
    181,452x = 153,751,820,544
  5. Step 5: Solve for x
    x = 153,751,820,544/181,452
  6. Step 6: Final answer
    x = 847,341.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.