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Finding the Third Proportional to 206,653.15 and 313,093.69

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Solution

The third proportional to 206,653.15 and 313,093.69 is: 474,358.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,653.15 : 313,093.69 = 313,093.69 : x
  2. Step 2: Convert to fraction form
    206,653.15/313,093.69 = 313,093.69/x
  3. Step 3: Cross multiply
    206,653.15x = 313,093.69 × 313,093.69
  4. Step 4: Simplify right side
    206,653.15x = 98,027,657,152.35
  5. Step 5: Solve for x
    x = 98,027,657,152.35/206,653.15
  6. Step 6: Final answer
    x = 474,358.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.