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Finding the Third Proportional to 233,811.56 and 376,558.88

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Solution

The third proportional to 233,811.56 and 376,558.88 is: 606,456.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,811.56 : 376,558.88 = 376,558.88 : x
  2. Step 2: Convert to fraction form
    233,811.56/376,558.88 = 376,558.88/x
  3. Step 3: Cross multiply
    233,811.56x = 376,558.88 × 376,558.88
  4. Step 4: Simplify right side
    233,811.56x = 141,796,586,341.27
  5. Step 5: Solve for x
    x = 141,796,586,341.27/233,811.56
  6. Step 6: Final answer
    x = 606,456.69

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.