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Finding the Third Proportional to 195,291 and 295,031.25

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Solution

The third proportional to 195,291 and 295,031.25 is: 445,711.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,291 : 295,031.25 = 295,031.25 : x
  2. Step 2: Convert to fraction form
    195,291/295,031.25 = 295,031.25/x
  3. Step 3: Cross multiply
    195,291x = 295,031.25 × 295,031.25
  4. Step 4: Simplify right side
    195,291x = 87,043,438,476.56
  5. Step 5: Solve for x
    x = 87,043,438,476.56/195,291
  6. Step 6: Final answer
    x = 445,711.47

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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.