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Finding the Third Proportional to 133,152 and 285,888

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Solution

The third proportional to 133,152 and 285,888 is: 613,824.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,152 : 285,888 = 285,888 : x
  2. Step 2: Convert to fraction form
    133,152/285,888 = 285,888/x
  3. Step 3: Cross multiply
    133,152x = 285,888 × 285,888
  4. Step 4: Simplify right side
    133,152x = 81,731,948,544
  5. Step 5: Solve for x
    x = 81,731,948,544/133,152
  6. Step 6: Final answer
    x = 613,824.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.