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Finding the Third Proportional to 193,437 and 411,783.75

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Solution

The third proportional to 193,437 and 411,783.75 is: 876,594.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,437 : 411,783.75 = 411,783.75 : x
  2. Step 2: Convert to fraction form
    193,437/411,783.75 = 411,783.75/x
  3. Step 3: Cross multiply
    193,437x = 411,783.75 × 411,783.75
  4. Step 4: Simplify right side
    193,437x = 169,565,856,764.06
  5. Step 5: Solve for x
    x = 169,565,856,764.06/193,437
  6. Step 6: Final answer
    x = 876,594.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.