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Finding the Third Proportional to 133,727.06 and 293,697.56

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Solution

The third proportional to 133,727.06 and 293,697.56 is: 645,032.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,727.06 : 293,697.56 = 293,697.56 : x
  2. Step 2: Convert to fraction form
    133,727.06/293,697.56 = 293,697.56/x
  3. Step 3: Cross multiply
    133,727.06x = 293,697.56 × 293,697.56
  4. Step 4: Simplify right side
    133,727.06x = 86,258,258,218.44
  5. Step 5: Solve for x
    x = 86,258,258,218.44/133,727.06
  6. Step 6: Final answer
    x = 645,032.18

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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.