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Finding the Third Proportional to 144,822.94 and 319,096.13

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Solution

The third proportional to 144,822.94 and 319,096.13 is: 703,081.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,822.94 : 319,096.13 = 319,096.13 : x
  2. Step 2: Convert to fraction form
    144,822.94/319,096.13 = 319,096.13/x
  3. Step 3: Cross multiply
    144,822.94x = 319,096.13 × 319,096.13
  4. Step 4: Simplify right side
    144,822.94x = 101,822,336,990.02
  5. Step 5: Solve for x
    x = 101,822,336,990.02/144,822.94
  6. Step 6: Final answer
    x = 703,081.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.