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Finding the Third Proportional to 148,492 and 323,791

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Solution

The third proportional to 148,492 and 323,791 is: 706,035.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,492 : 323,791 = 323,791 : x
  2. Step 2: Convert to fraction form
    148,492/323,791 = 323,791/x
  3. Step 3: Cross multiply
    148,492x = 323,791 × 323,791
  4. Step 4: Simplify right side
    148,492x = 104,840,611,681
  5. Step 5: Solve for x
    x = 104,840,611,681/148,492
  6. Step 6: Final answer
    x = 706,035.42

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.