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Finding the Third Proportional to 148,452 and 328,008

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Solution

The third proportional to 148,452 and 328,008 is: 724,740.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,452 : 328,008 = 328,008 : x
  2. Step 2: Convert to fraction form
    148,452/328,008 = 328,008/x
  3. Step 3: Cross multiply
    148,452x = 328,008 × 328,008
  4. Step 4: Simplify right side
    148,452x = 107,589,248,064
  5. Step 5: Solve for x
    x = 107,589,248,064/148,452
  6. Step 6: Final answer
    x = 724,740.98

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.