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Finding the Third Proportional to 99,000 and 233,622

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Solution

The third proportional to 99,000 and 233,622 is: 551,305.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,000 : 233,622 = 233,622 : x
  2. Step 2: Convert to fraction form
    99,000/233,622 = 233,622/x
  3. Step 3: Cross multiply
    99,000x = 233,622 × 233,622
  4. Step 4: Simplify right side
    99,000x = 54,579,238,884
  5. Step 5: Solve for x
    x = 54,579,238,884/99,000
  6. Step 6: Final answer
    x = 551,305.44

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.