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Finding the Third Proportional to 195,934 and 293,141

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Solution

The third proportional to 195,934 and 293,141 is: 438,574.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,934 : 293,141 = 293,141 : x
  2. Step 2: Convert to fraction form
    195,934/293,141 = 293,141/x
  3. Step 3: Cross multiply
    195,934x = 293,141 × 293,141
  4. Step 4: Simplify right side
    195,934x = 85,931,645,881
  5. Step 5: Solve for x
    x = 85,931,645,881/195,934
  6. Step 6: Final answer
    x = 438,574.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.