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Finding the Third Proportional to 181,981 and 393,770

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Solution

The third proportional to 181,981 and 393,770 is: 852,038.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,981 : 393,770 = 393,770 : x
  2. Step 2: Convert to fraction form
    181,981/393,770 = 393,770/x
  3. Step 3: Cross multiply
    181,981x = 393,770 × 393,770
  4. Step 4: Simplify right side
    181,981x = 155,054,812,900
  5. Step 5: Solve for x
    x = 155,054,812,900/181,981
  6. Step 6: Final answer
    x = 852,038.47

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.