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Finding the Third Proportional to 147,556.50 and 316,617

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Solution

The third proportional to 147,556.50 and 316,617 is: 679,375.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,556.50 : 316,617 = 316,617 : x
  2. Step 2: Convert to fraction form
    147,556.50/316,617 = 316,617/x
  3. Step 3: Cross multiply
    147,556.50x = 316,617 × 316,617
  4. Step 4: Simplify right side
    147,556.50x = 100,246,324,689
  5. Step 5: Solve for x
    x = 100,246,324,689/147,556.50
  6. Step 6: Final answer
    x = 679,375.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.