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Finding the Third Proportional to 222,084 and 291,576

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Solution

The third proportional to 222,084 and 291,576 is: 382,812.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,084 : 291,576 = 291,576 : x
  2. Step 2: Convert to fraction form
    222,084/291,576 = 291,576/x
  3. Step 3: Cross multiply
    222,084x = 291,576 × 291,576
  4. Step 4: Simplify right side
    222,084x = 85,016,563,776
  5. Step 5: Solve for x
    x = 85,016,563,776/222,084
  6. Step 6: Final answer
    x = 382,812.65

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.