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Finding the Third Proportional to 195,931.13 and 293,137.31

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Solution

The third proportional to 195,931.13 and 293,137.31 is: 438,569.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,931.13 : 293,137.31 = 293,137.31 : x
  2. Step 2: Convert to fraction form
    195,931.13/293,137.31 = 293,137.31/x
  3. Step 3: Cross multiply
    195,931.13x = 293,137.31 × 293,137.31
  4. Step 4: Simplify right side
    195,931.13x = 85,929,483,979.72
  5. Step 5: Solve for x
    x = 85,929,483,979.72/195,931.13
  6. Step 6: Final answer
    x = 438,569.85

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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.