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Finding the Third Proportional to 148,614 and 321,467

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Solution

The third proportional to 148,614 and 321,467 is: 695,365.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,614 : 321,467 = 321,467 : x
  2. Step 2: Convert to fraction form
    148,614/321,467 = 321,467/x
  3. Step 3: Cross multiply
    148,614x = 321,467 × 321,467
  4. Step 4: Simplify right side
    148,614x = 103,341,032,089
  5. Step 5: Solve for x
    x = 103,341,032,089/148,614
  6. Step 6: Final answer
    x = 695,365.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.