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Finding the Third Proportional to 193,904 and 297,944

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Solution

The third proportional to 193,904 and 297,944 is: 457,807.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,904 : 297,944 = 297,944 : x
  2. Step 2: Convert to fraction form
    193,904/297,944 = 297,944/x
  3. Step 3: Cross multiply
    193,904x = 297,944 × 297,944
  4. Step 4: Simplify right side
    193,904x = 88,770,627,136
  5. Step 5: Solve for x
    x = 88,770,627,136/193,904
  6. Step 6: Final answer
    x = 457,807.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.