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Finding the Third Proportional to 160,966.50 and 317,879.25

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Solution

The third proportional to 160,966.50 and 317,879.25 is: 627,753.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,966.50 : 317,879.25 = 317,879.25 : x
  2. Step 2: Convert to fraction form
    160,966.50/317,879.25 = 317,879.25/x
  3. Step 3: Cross multiply
    160,966.50x = 317,879.25 × 317,879.25
  4. Step 4: Simplify right side
    160,966.50x = 101,047,217,580.56
  5. Step 5: Solve for x
    x = 101,047,217,580.56/160,966.50
  6. Step 6: Final answer
    x = 627,753.09

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.