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Finding the Third Proportional to 195,424 and 293,602

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Solution

The third proportional to 195,424 and 293,602 is: 441,103.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,424 : 293,602 = 293,602 : x
  2. Step 2: Convert to fraction form
    195,424/293,602 = 293,602/x
  3. Step 3: Cross multiply
    195,424x = 293,602 × 293,602
  4. Step 4: Simplify right side
    195,424x = 86,202,134,404
  5. Step 5: Solve for x
    x = 86,202,134,404/195,424
  6. Step 6: Final answer
    x = 441,103.11

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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.