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Finding the Third Proportional to 263,943.56 and 358,599.66

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Solution

The third proportional to 263,943.56 and 358,599.66 is: 487,201.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,943.56 : 358,599.66 = 358,599.66 : x
  2. Step 2: Convert to fraction form
    263,943.56/358,599.66 = 358,599.66/x
  3. Step 3: Cross multiply
    263,943.56x = 358,599.66 × 358,599.66
  4. Step 4: Simplify right side
    263,943.56x = 128,593,713,462.62
  5. Step 5: Solve for x
    x = 128,593,713,462.62/263,943.56
  6. Step 6: Final answer
    x = 487,201.55

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.