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Finding the Third Proportional to 202,940 and 323,202

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Solution

The third proportional to 202,940 and 323,202 is: 514,731.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,940 : 323,202 = 323,202 : x
  2. Step 2: Convert to fraction form
    202,940/323,202 = 323,202/x
  3. Step 3: Cross multiply
    202,940x = 323,202 × 323,202
  4. Step 4: Simplify right side
    202,940x = 104,459,532,804
  5. Step 5: Solve for x
    x = 104,459,532,804/202,940
  6. Step 6: Final answer
    x = 514,731.12

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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.