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Finding the Third Proportional to 144,652 and 296,349

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Solution

The third proportional to 144,652 and 296,349 is: 607,131.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,652 : 296,349 = 296,349 : x
  2. Step 2: Convert to fraction form
    144,652/296,349 = 296,349/x
  3. Step 3: Cross multiply
    144,652x = 296,349 × 296,349
  4. Step 4: Simplify right side
    144,652x = 87,822,729,801
  5. Step 5: Solve for x
    x = 87,822,729,801/144,652
  6. Step 6: Final answer
    x = 607,131.11

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.