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Finding the Third Proportional to 150,542 and 205,053

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Solution

The third proportional to 150,542 and 205,053 is: 279,302.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,542 : 205,053 = 205,053 : x
  2. Step 2: Convert to fraction form
    150,542/205,053 = 205,053/x
  3. Step 3: Cross multiply
    150,542x = 205,053 × 205,053
  4. Step 4: Simplify right side
    150,542x = 42,046,732,809
  5. Step 5: Solve for x
    x = 42,046,732,809/150,542
  6. Step 6: Final answer
    x = 279,302.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.