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Finding the Third Proportional to 101,351 and 234,605

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Solution

The third proportional to 101,351 and 234,605 is: 543,058.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,351 : 234,605 = 234,605 : x
  2. Step 2: Convert to fraction form
    101,351/234,605 = 234,605/x
  3. Step 3: Cross multiply
    101,351x = 234,605 × 234,605
  4. Step 4: Simplify right side
    101,351x = 55,039,506,025
  5. Step 5: Solve for x
    x = 55,039,506,025/101,351
  6. Step 6: Final answer
    x = 543,058.34

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.