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Finding the Third Proportional to 194,940 and 293,850

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Solution

The third proportional to 194,940 and 293,850 is: 442,945.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,940 : 293,850 = 293,850 : x
  2. Step 2: Convert to fraction form
    194,940/293,850 = 293,850/x
  3. Step 3: Cross multiply
    194,940x = 293,850 × 293,850
  4. Step 4: Simplify right side
    194,940x = 86,347,822,500
  5. Step 5: Solve for x
    x = 86,347,822,500/194,940
  6. Step 6: Final answer
    x = 442,945.64

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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.