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Finding the Third Proportional to 202,176 and 433,872

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Solution

The third proportional to 202,176 and 433,872 is: 931,094.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,176 : 433,872 = 433,872 : x
  2. Step 2: Convert to fraction form
    202,176/433,872 = 433,872/x
  3. Step 3: Cross multiply
    202,176x = 433,872 × 433,872
  4. Step 4: Simplify right side
    202,176x = 188,244,912,384
  5. Step 5: Solve for x
    x = 188,244,912,384/202,176
  6. Step 6: Final answer
    x = 931,094.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.