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Finding the Third Proportional to 154,928 and 328,456

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Solution

The third proportional to 154,928 and 328,456 is: 696,345.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,928 : 328,456 = 328,456 : x
  2. Step 2: Convert to fraction form
    154,928/328,456 = 328,456/x
  3. Step 3: Cross multiply
    154,928x = 328,456 × 328,456
  4. Step 4: Simplify right side
    154,928x = 107,883,343,936
  5. Step 5: Solve for x
    x = 107,883,343,936/154,928
  6. Step 6: Final answer
    x = 696,345.04

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.