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Finding the Third Proportional to 148,969 and 322,952

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Solution

The third proportional to 148,969 and 322,952 is: 700,132.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,969 : 322,952 = 322,952 : x
  2. Step 2: Convert to fraction form
    148,969/322,952 = 322,952/x
  3. Step 3: Cross multiply
    148,969x = 322,952 × 322,952
  4. Step 4: Simplify right side
    148,969x = 104,297,994,304
  5. Step 5: Solve for x
    x = 104,297,994,304/148,969
  6. Step 6: Final answer
    x = 700,132.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.