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Finding the Third Proportional to 153,620.75 and 313,340.63

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Solution

The third proportional to 153,620.75 and 313,340.63 is: 639,121.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,620.75 : 313,340.63 = 313,340.63 : x
  2. Step 2: Convert to fraction form
    153,620.75/313,340.63 = 313,340.63/x
  3. Step 3: Cross multiply
    153,620.75x = 313,340.63 × 313,340.63
  4. Step 4: Simplify right side
    153,620.75x = 98,182,347,275.39
  5. Step 5: Solve for x
    x = 98,182,347,275.39/153,620.75
  6. Step 6: Final answer
    x = 639,121.65

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.