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Finding the Third Proportional to 99,333 and 234,315

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Solution

The third proportional to 99,333 and 234,315 is: 552,721.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,333 : 234,315 = 234,315 : x
  2. Step 2: Convert to fraction form
    99,333/234,315 = 234,315/x
  3. Step 3: Cross multiply
    99,333x = 234,315 × 234,315
  4. Step 4: Simplify right side
    99,333x = 54,903,519,225
  5. Step 5: Solve for x
    x = 54,903,519,225/99,333
  6. Step 6: Final answer
    x = 552,721.85

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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.