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Finding the Third Proportional to 133,252.88 and 284,820.75

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Solution

The third proportional to 133,252.88 and 284,820.75 is: 608,788.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,252.88 : 284,820.75 = 284,820.75 : x
  2. Step 2: Convert to fraction form
    133,252.88/284,820.75 = 284,820.75/x
  3. Step 3: Cross multiply
    133,252.88x = 284,820.75 × 284,820.75
  4. Step 4: Simplify right side
    133,252.88x = 81,122,859,630.56
  5. Step 5: Solve for x
    x = 81,122,859,630.56/133,252.88
  6. Step 6: Final answer
    x = 608,788.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.