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Finding the Third Proportional to 144,416 and 337,427

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Solution

The third proportional to 144,416 and 337,427 is: 788,395.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,416 : 337,427 = 337,427 : x
  2. Step 2: Convert to fraction form
    144,416/337,427 = 337,427/x
  3. Step 3: Cross multiply
    144,416x = 337,427 × 337,427
  4. Step 4: Simplify right side
    144,416x = 113,856,980,329
  5. Step 5: Solve for x
    x = 113,856,980,329/144,416
  6. Step 6: Final answer
    x = 788,395.89

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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.