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Finding the Third Proportional to 146,701.50 and 215,880

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Solution

The third proportional to 146,701.50 and 215,880 is: 317,680.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,701.50 : 215,880 = 215,880 : x
  2. Step 2: Convert to fraction form
    146,701.50/215,880 = 215,880/x
  3. Step 3: Cross multiply
    146,701.50x = 215,880 × 215,880
  4. Step 4: Simplify right side
    146,701.50x = 46,604,174,400
  5. Step 5: Solve for x
    x = 46,604,174,400/146,701.50
  6. Step 6: Final answer
    x = 317,680.29

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.