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Finding the Third Proportional to 224,305.88 and 319,933.13

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Solution

The third proportional to 224,305.88 and 319,933.13 is: 456,328.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,305.88 : 319,933.13 = 319,933.13 : x
  2. Step 2: Convert to fraction form
    224,305.88/319,933.13 = 319,933.13/x
  3. Step 3: Cross multiply
    224,305.88x = 319,933.13 × 319,933.13
  4. Step 4: Simplify right side
    224,305.88x = 102,357,204,472.27
  5. Step 5: Solve for x
    x = 102,357,204,472.27/224,305.88
  6. Step 6: Final answer
    x = 456,328.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.