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Finding the Third Proportional to 207,411.89 and 313,025.77

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Solution

The third proportional to 207,411.89 and 313,025.77 is: 472,418.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,411.89 : 313,025.77 = 313,025.77 : x
  2. Step 2: Convert to fraction form
    207,411.89/313,025.77 = 313,025.77/x
  3. Step 3: Cross multiply
    207,411.89x = 313,025.77 × 313,025.77
  4. Step 4: Simplify right side
    207,411.89x = 97,985,129,945.12
  5. Step 5: Solve for x
    x = 97,985,129,945.12/207,411.89
  6. Step 6: Final answer
    x = 472,418.09

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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.