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Finding the Third Proportional to 185,058 and 396,396

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Solution

The third proportional to 185,058 and 396,396 is: 849,084.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,058 : 396,396 = 396,396 : x
  2. Step 2: Convert to fraction form
    185,058/396,396 = 396,396/x
  3. Step 3: Cross multiply
    185,058x = 396,396 × 396,396
  4. Step 4: Simplify right side
    185,058x = 157,129,788,816
  5. Step 5: Solve for x
    x = 157,129,788,816/185,058
  6. Step 6: Final answer
    x = 849,084.01

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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.