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Finding the Third Proportional to 144,652 and 296,350

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Solution

The third proportional to 144,652 and 296,350 is: 607,135.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,652 : 296,350 = 296,350 : x
  2. Step 2: Convert to fraction form
    144,652/296,350 = 296,350/x
  3. Step 3: Cross multiply
    144,652x = 296,350 × 296,350
  4. Step 4: Simplify right side
    144,652x = 87,823,322,500
  5. Step 5: Solve for x
    x = 87,823,322,500/144,652
  6. Step 6: Final answer
    x = 607,135.21

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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.