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Finding the Third Proportional to 151,114.50 and 317,745

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Solution

The third proportional to 151,114.50 and 317,745 is: 668,115.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,114.50 : 317,745 = 317,745 : x
  2. Step 2: Convert to fraction form
    151,114.50/317,745 = 317,745/x
  3. Step 3: Cross multiply
    151,114.50x = 317,745 × 317,745
  4. Step 4: Simplify right side
    151,114.50x = 100,961,885,025
  5. Step 5: Solve for x
    x = 100,961,885,025/151,114.50
  6. Step 6: Final answer
    x = 668,115.14

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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.