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Finding the Third Proportional to 146,911.50 and 317,151

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Solution

The third proportional to 146,911.50 and 317,151 is: 684,662.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,911.50 : 317,151 = 317,151 : x
  2. Step 2: Convert to fraction form
    146,911.50/317,151 = 317,151/x
  3. Step 3: Cross multiply
    146,911.50x = 317,151 × 317,151
  4. Step 4: Simplify right side
    146,911.50x = 100,584,756,801
  5. Step 5: Solve for x
    x = 100,584,756,801/146,911.50
  6. Step 6: Final answer
    x = 684,662.24

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.