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Finding the Third Proportional to 133,721.06 and 293,685.56

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Solution

The third proportional to 133,721.06 and 293,685.56 is: 645,008.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,721.06 : 293,685.56 = 293,685.56 : x
  2. Step 2: Convert to fraction form
    133,721.06/293,685.56 = 293,685.56/x
  3. Step 3: Cross multiply
    133,721.06x = 293,685.56 × 293,685.56
  4. Step 4: Simplify right side
    133,721.06x = 86,251,209,620.94
  5. Step 5: Solve for x
    x = 86,251,209,620.94/133,721.06
  6. Step 6: Final answer
    x = 645,008.41

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