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Finding the Third Proportional to 203,856.75 and 314,695.13

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Solution

The third proportional to 203,856.75 and 314,695.13 is: 485,797.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,856.75 : 314,695.13 = 314,695.13 : x
  2. Step 2: Convert to fraction form
    203,856.75/314,695.13 = 314,695.13/x
  3. Step 3: Cross multiply
    203,856.75x = 314,695.13 × 314,695.13
  4. Step 4: Simplify right side
    203,856.75x = 99,033,021,698.77
  5. Step 5: Solve for x
    x = 99,033,021,698.77/203,856.75
  6. Step 6: Final answer
    x = 485,797.12

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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.