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Finding the Third Proportional to 195,931 and 293,137

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Solution

The third proportional to 195,931 and 293,137 is: 438,569.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,931 : 293,137 = 293,137 : x
  2. Step 2: Convert to fraction form
    195,931/293,137 = 293,137/x
  3. Step 3: Cross multiply
    195,931x = 293,137 × 293,137
  4. Step 4: Simplify right side
    195,931x = 85,929,300,769
  5. Step 5: Solve for x
    x = 85,929,300,769/195,931
  6. Step 6: Final answer
    x = 438,569.19

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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.