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Finding the Third Proportional to 160,968.75 and 317,883.75

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Solution

The third proportional to 160,968.75 and 317,883.75 is: 627,762.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,968.75 : 317,883.75 = 317,883.75 : x
  2. Step 2: Convert to fraction form
    160,968.75/317,883.75 = 317,883.75/x
  3. Step 3: Cross multiply
    160,968.75x = 317,883.75 × 317,883.75
  4. Step 4: Simplify right side
    160,968.75x = 101,050,078,514.06
  5. Step 5: Solve for x
    x = 101,050,078,514.06/160,968.75
  6. Step 6: Final answer
    x = 627,762.09

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