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Finding the Third Proportional to 140,472 and 297,464

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Solution

The third proportional to 140,472 and 297,464 is: 629,910.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,472 : 297,464 = 297,464 : x
  2. Step 2: Convert to fraction form
    140,472/297,464 = 297,464/x
  3. Step 3: Cross multiply
    140,472x = 297,464 × 297,464
  4. Step 4: Simplify right side
    140,472x = 88,484,831,296
  5. Step 5: Solve for x
    x = 88,484,831,296/140,472
  6. Step 6: Final answer
    x = 629,910.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.