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Finding the Third Proportional to 144,448 and 337,500

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Solution

The third proportional to 144,448 and 337,500 is: 788,562.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,448 : 337,500 = 337,500 : x
  2. Step 2: Convert to fraction form
    144,448/337,500 = 337,500/x
  3. Step 3: Cross multiply
    144,448x = 337,500 × 337,500
  4. Step 4: Simplify right side
    144,448x = 113,906,250,000
  5. Step 5: Solve for x
    x = 113,906,250,000/144,448
  6. Step 6: Final answer
    x = 788,562.32

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.