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Finding the Third Proportional to 144,424 and 337,446

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Solution

The third proportional to 144,424 and 337,446 is: 788,441.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,424 : 337,446 = 337,446 : x
  2. Step 2: Convert to fraction form
    144,424/337,446 = 337,446/x
  3. Step 3: Cross multiply
    144,424x = 337,446 × 337,446
  4. Step 4: Simplify right side
    144,424x = 113,869,802,916
  5. Step 5: Solve for x
    x = 113,869,802,916/144,424
  6. Step 6: Final answer
    x = 788,441.00

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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.