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Finding the Third Proportional to 155,214 and 246,184

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Solution

The third proportional to 155,214 and 246,184 is: 390,470.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,214 : 246,184 = 246,184 : x
  2. Step 2: Convert to fraction form
    155,214/246,184 = 246,184/x
  3. Step 3: Cross multiply
    155,214x = 246,184 × 246,184
  4. Step 4: Simplify right side
    155,214x = 60,606,561,856
  5. Step 5: Solve for x
    x = 60,606,561,856/155,214
  6. Step 6: Final answer
    x = 390,470.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.