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Finding the Third Proportional to 194,942 and 293,852

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Solution

The third proportional to 194,942 and 293,852 is: 442,947.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,942 : 293,852 = 293,852 : x
  2. Step 2: Convert to fraction form
    194,942/293,852 = 293,852/x
  3. Step 3: Cross multiply
    194,942x = 293,852 × 293,852
  4. Step 4: Simplify right side
    194,942x = 86,348,997,904
  5. Step 5: Solve for x
    x = 86,348,997,904/194,942
  6. Step 6: Final answer
    x = 442,947.12

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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.