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Finding the Third Proportional to 133,296 and 284,952

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Solution

The third proportional to 133,296 and 284,952 is: 609,152.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,296 : 284,952 = 284,952 : x
  2. Step 2: Convert to fraction form
    133,296/284,952 = 284,952/x
  3. Step 3: Cross multiply
    133,296x = 284,952 × 284,952
  4. Step 4: Simplify right side
    133,296x = 81,197,642,304
  5. Step 5: Solve for x
    x = 81,197,642,304/133,296
  6. Step 6: Final answer
    x = 609,152.88

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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.