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Finding the Third Proportional to 196,243 and 295,514

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Solution

The third proportional to 196,243 and 295,514 is: 445,001.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,243 : 295,514 = 295,514 : x
  2. Step 2: Convert to fraction form
    196,243/295,514 = 295,514/x
  3. Step 3: Cross multiply
    196,243x = 295,514 × 295,514
  4. Step 4: Simplify right side
    196,243x = 87,328,524,196
  5. Step 5: Solve for x
    x = 87,328,524,196/196,243
  6. Step 6: Final answer
    x = 445,001.98

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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.