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Finding the Third Proportional to 151,168 and 329,968

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Solution

The third proportional to 151,168 and 329,968 is: 720,250.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,168 : 329,968 = 329,968 : x
  2. Step 2: Convert to fraction form
    151,168/329,968 = 329,968/x
  3. Step 3: Cross multiply
    151,168x = 329,968 × 329,968
  4. Step 4: Simplify right side
    151,168x = 108,878,881,024
  5. Step 5: Solve for x
    x = 108,878,881,024/151,168
  6. Step 6: Final answer
    x = 720,250.85

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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.