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Finding the Third Proportional to 144,291 and 308,184

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Solution

The third proportional to 144,291 and 308,184 is: 658,234.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,291 : 308,184 = 308,184 : x
  2. Step 2: Convert to fraction form
    144,291/308,184 = 308,184/x
  3. Step 3: Cross multiply
    144,291x = 308,184 × 308,184
  4. Step 4: Simplify right side
    144,291x = 94,977,377,856
  5. Step 5: Solve for x
    x = 94,977,377,856/144,291
  6. Step 6: Final answer
    x = 658,234.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.