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Finding the Third Proportional to 160,967.25 and 317,881.13

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Solution

The third proportional to 160,967.25 and 317,881.13 is: 627,757.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,967.25 : 317,881.13 = 317,881.13 : x
  2. Step 2: Convert to fraction form
    160,967.25/317,881.13 = 317,881.13/x
  3. Step 3: Cross multiply
    160,967.25x = 317,881.13 × 317,881.13
  4. Step 4: Simplify right side
    160,967.25x = 101,048,409,631.27
  5. Step 5: Solve for x
    x = 101,048,409,631.27/160,967.25
  6. Step 6: Final answer
    x = 627,757.57

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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.