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Finding the Third Proportional to 193,579.88 and 293,285.81

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Solution

The third proportional to 193,579.88 and 293,285.81 is: 444,346.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,579.88 : 293,285.81 = 293,285.81 : x
  2. Step 2: Convert to fraction form
    193,579.88/293,285.81 = 293,285.81/x
  3. Step 3: Cross multiply
    193,579.88x = 293,285.81 × 293,285.81
  4. Step 4: Simplify right side
    193,579.88x = 86,016,567,813.79
  5. Step 5: Solve for x
    x = 86,016,567,813.79/193,579.88
  6. Step 6: Final answer
    x = 444,346.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.