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Finding the Third Proportional to 202,176 and 313,922

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Solution

The third proportional to 202,176 and 313,922 is: 487,431.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,176 : 313,922 = 313,922 : x
  2. Step 2: Convert to fraction form
    202,176/313,922 = 313,922/x
  3. Step 3: Cross multiply
    202,176x = 313,922 × 313,922
  4. Step 4: Simplify right side
    202,176x = 98,547,022,084
  5. Step 5: Solve for x
    x = 98,547,022,084/202,176
  6. Step 6: Final answer
    x = 487,431.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.