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Finding the Third Proportional to 202,377 and 445,501

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Solution

The third proportional to 202,377 and 445,501 is: 980,700.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,377 : 445,501 = 445,501 : x
  2. Step 2: Convert to fraction form
    202,377/445,501 = 445,501/x
  3. Step 3: Cross multiply
    202,377x = 445,501 × 445,501
  4. Step 4: Simplify right side
    202,377x = 198,471,141,001
  5. Step 5: Solve for x
    x = 198,471,141,001/202,377
  6. Step 6: Final answer
    x = 980,700.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.