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Finding the Third Proportional to 231,663.50 and 369,977

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Solution

The third proportional to 231,663.50 and 369,977 is: 590,869.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,663.50 : 369,977 = 369,977 : x
  2. Step 2: Convert to fraction form
    231,663.50/369,977 = 369,977/x
  3. Step 3: Cross multiply
    231,663.50x = 369,977 × 369,977
  4. Step 4: Simplify right side
    231,663.50x = 136,882,980,529
  5. Step 5: Solve for x
    x = 136,882,980,529/231,663.50
  6. Step 6: Final answer
    x = 590,869.86

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.