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Finding the Third Proportional to 233,904 and 305,875

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Solution

The third proportional to 233,904 and 305,875 is: 399,991.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,904 : 305,875 = 305,875 : x
  2. Step 2: Convert to fraction form
    233,904/305,875 = 305,875/x
  3. Step 3: Cross multiply
    233,904x = 305,875 × 305,875
  4. Step 4: Simplify right side
    233,904x = 93,559,515,625
  5. Step 5: Solve for x
    x = 93,559,515,625/233,904
  6. Step 6: Final answer
    x = 399,991.09

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.