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Finding the Third Proportional to 181,300 and 398,490

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Solution

The third proportional to 181,300 and 398,490 is: 875,864.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,300 : 398,490 = 398,490 : x
  2. Step 2: Convert to fraction form
    181,300/398,490 = 398,490/x
  3. Step 3: Cross multiply
    181,300x = 398,490 × 398,490
  4. Step 4: Simplify right side
    181,300x = 158,794,280,100
  5. Step 5: Solve for x
    x = 158,794,280,100/181,300
  6. Step 6: Final answer
    x = 875,864.76

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.