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Finding the Third Proportional to 148,338 and 301,860

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Solution

The third proportional to 148,338 and 301,860 is: 614,269.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,338 : 301,860 = 301,860 : x
  2. Step 2: Convert to fraction form
    148,338/301,860 = 301,860/x
  3. Step 3: Cross multiply
    148,338x = 301,860 × 301,860
  4. Step 4: Simplify right side
    148,338x = 91,119,459,600
  5. Step 5: Solve for x
    x = 91,119,459,600/148,338
  6. Step 6: Final answer
    x = 614,269.17

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.