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Finding the Third Proportional to 195,291 and 295,032.38

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Solution

The third proportional to 195,291 and 295,032.38 is: 445,714.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,291 : 295,032.38 = 295,032.38 : x
  2. Step 2: Convert to fraction form
    195,291/295,032.38 = 295,032.38/x
  3. Step 3: Cross multiply
    195,291x = 295,032.38 × 295,032.38
  4. Step 4: Simplify right side
    195,291x = 87,044,102,298.14
  5. Step 5: Solve for x
    x = 87,044,102,298.14/195,291
  6. Step 6: Final answer
    x = 445,714.87

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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.