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Finding the Third Proportional to 151,469 and 318,607

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Solution

The third proportional to 151,469 and 318,607 is: 670,172.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,469 : 318,607 = 318,607 : x
  2. Step 2: Convert to fraction form
    151,469/318,607 = 318,607/x
  3. Step 3: Cross multiply
    151,469x = 318,607 × 318,607
  4. Step 4: Simplify right side
    151,469x = 101,510,420,449
  5. Step 5: Solve for x
    x = 101,510,420,449/151,469
  6. Step 6: Final answer
    x = 670,172.91

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.