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Finding the Third Proportional to 160,853.25 and 317,668.50

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Solution

The third proportional to 160,853.25 and 317,668.50 is: 627,362.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,853.25 : 317,668.50 = 317,668.50 : x
  2. Step 2: Convert to fraction form
    160,853.25/317,668.50 = 317,668.50/x
  3. Step 3: Cross multiply
    160,853.25x = 317,668.50 × 317,668.50
  4. Step 4: Simplify right side
    160,853.25x = 100,913,275,892.25
  5. Step 5: Solve for x
    x = 100,913,275,892.25/160,853.25
  6. Step 6: Final answer
    x = 627,362.37

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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.