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Finding the Third Proportional to 185,073 and 396,426

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Solution

The third proportional to 185,073 and 396,426 is: 849,143.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,073 : 396,426 = 396,426 : x
  2. Step 2: Convert to fraction form
    185,073/396,426 = 396,426/x
  3. Step 3: Cross multiply
    185,073x = 396,426 × 396,426
  4. Step 4: Simplify right side
    185,073x = 157,153,573,476
  5. Step 5: Solve for x
    x = 157,153,573,476/185,073
  6. Step 6: Final answer
    x = 849,143.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.