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Finding the Third Proportional to 114,831 and 253,476

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Solution

The third proportional to 114,831 and 253,476 is: 559,518.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,831 : 253,476 = 253,476 : x
  2. Step 2: Convert to fraction form
    114,831/253,476 = 253,476/x
  3. Step 3: Cross multiply
    114,831x = 253,476 × 253,476
  4. Step 4: Simplify right side
    114,831x = 64,250,082,576
  5. Step 5: Solve for x
    x = 64,250,082,576/114,831
  6. Step 6: Final answer
    x = 559,518.62

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.