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Finding the Third Proportional to 193,033.13 and 291,068.44

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Solution

The third proportional to 193,033.13 and 291,068.44 is: 438,892.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,033.13 : 291,068.44 = 291,068.44 : x
  2. Step 2: Convert to fraction form
    193,033.13/291,068.44 = 291,068.44/x
  3. Step 3: Cross multiply
    193,033.13x = 291,068.44 × 291,068.44
  4. Step 4: Simplify right side
    193,033.13x = 84,720,835,308.69
  5. Step 5: Solve for x
    x = 84,720,835,308.69/193,033.13
  6. Step 6: Final answer
    x = 438,892.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.