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Finding the Third Proportional to 193,276.13 and 414,231.47

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Solution

The third proportional to 193,276.13 and 414,231.47 is: 887,785.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,276.13 : 414,231.47 = 414,231.47 : x
  2. Step 2: Convert to fraction form
    193,276.13/414,231.47 = 414,231.47/x
  3. Step 3: Cross multiply
    193,276.13x = 414,231.47 × 414,231.47
  4. Step 4: Simplify right side
    193,276.13x = 171,587,709,702.78
  5. Step 5: Solve for x
    x = 171,587,709,702.78/193,276.13
  6. Step 6: Final answer
    x = 887,785.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.