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Finding the Third Proportional to 233,905 and 305,877

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Solution

The third proportional to 233,905 and 305,877 is: 399,994.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,905 : 305,877 = 305,877 : x
  2. Step 2: Convert to fraction form
    233,905/305,877 = 305,877/x
  3. Step 3: Cross multiply
    233,905x = 305,877 × 305,877
  4. Step 4: Simplify right side
    233,905x = 93,560,739,129
  5. Step 5: Solve for x
    x = 93,560,739,129/233,905
  6. Step 6: Final answer
    x = 399,994.61

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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.