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Finding the Third Proportional to 181,214 and 384,352

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Solution

The third proportional to 181,214 and 384,352 is: 815,204.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,214 : 384,352 = 384,352 : x
  2. Step 2: Convert to fraction form
    181,214/384,352 = 384,352/x
  3. Step 3: Cross multiply
    181,214x = 384,352 × 384,352
  4. Step 4: Simplify right side
    181,214x = 147,726,459,904
  5. Step 5: Solve for x
    x = 147,726,459,904/181,214
  6. Step 6: Final answer
    x = 815,204.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.