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Finding the Third Proportional to 205,093.13 and 314,821.69

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Solution

The third proportional to 205,093.13 and 314,821.69 is: 483,257.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,093.13 : 314,821.69 = 314,821.69 : x
  2. Step 2: Convert to fraction form
    205,093.13/314,821.69 = 314,821.69/x
  3. Step 3: Cross multiply
    205,093.13x = 314,821.69 × 314,821.69
  4. Step 4: Simplify right side
    205,093.13x = 99,112,694,920.35
  5. Step 5: Solve for x
    x = 99,112,694,920.35/205,093.13
  6. Step 6: Final answer
    x = 483,257.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.