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Finding the Third Proportional to 183,463 and 291,870

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Solution

The third proportional to 183,463 and 291,870 is: 464,333.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,463 : 291,870 = 291,870 : x
  2. Step 2: Convert to fraction form
    183,463/291,870 = 291,870/x
  3. Step 3: Cross multiply
    183,463x = 291,870 × 291,870
  4. Step 4: Simplify right side
    183,463x = 85,188,096,900
  5. Step 5: Solve for x
    x = 85,188,096,900/183,463
  6. Step 6: Final answer
    x = 464,333.94

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