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Finding the Third Proportional to 202,942 and 323,207

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Solution

The third proportional to 202,942 and 323,207 is: 514,741.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,942 : 323,207 = 323,207 : x
  2. Step 2: Convert to fraction form
    202,942/323,207 = 323,207/x
  3. Step 3: Cross multiply
    202,942x = 323,207 × 323,207
  4. Step 4: Simplify right side
    202,942x = 104,462,764,849
  5. Step 5: Solve for x
    x = 104,462,764,849/202,942
  6. Step 6: Final answer
    x = 514,741.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.