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Finding the Third Proportional to 202,176 and 442,800

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Solution

The third proportional to 202,176 and 442,800 is: 969,807.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,176 : 442,800 = 442,800 : x
  2. Step 2: Convert to fraction form
    202,176/442,800 = 442,800/x
  3. Step 3: Cross multiply
    202,176x = 442,800 × 442,800
  4. Step 4: Simplify right side
    202,176x = 196,071,840,000
  5. Step 5: Solve for x
    x = 196,071,840,000/202,176
  6. Step 6: Final answer
    x = 969,807.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.