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Finding the Third Proportional to 207,893.25 and 313,714.13

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Solution

The third proportional to 207,893.25 and 313,714.13 is: 473,399.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,893.25 : 313,714.13 = 313,714.13 : x
  2. Step 2: Convert to fraction form
    207,893.25/313,714.13 = 313,714.13/x
  3. Step 3: Cross multiply
    207,893.25x = 313,714.13 × 313,714.13
  4. Step 4: Simplify right side
    207,893.25x = 98,416,552,224.52
  5. Step 5: Solve for x
    x = 98,416,552,224.52/207,893.25
  6. Step 6: Final answer
    x = 473,399.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.