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Finding the Third Proportional to 84,264 and 185,476

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Solution

The third proportional to 84,264 and 185,476 is: 408,256.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,264 : 185,476 = 185,476 : x
  2. Step 2: Convert to fraction form
    84,264/185,476 = 185,476/x
  3. Step 3: Cross multiply
    84,264x = 185,476 × 185,476
  4. Step 4: Simplify right side
    84,264x = 34,401,346,576
  5. Step 5: Solve for x
    x = 34,401,346,576/84,264
  6. Step 6: Final answer
    x = 408,256.75

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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.