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Finding the Third Proportional to 205,800.75 and 323,265.38

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Solution

The third proportional to 205,800.75 and 323,265.38 is: 507,775.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,800.75 : 323,265.38 = 323,265.38 : x
  2. Step 2: Convert to fraction form
    205,800.75/323,265.38 = 323,265.38/x
  3. Step 3: Cross multiply
    205,800.75x = 323,265.38 × 323,265.38
  4. Step 4: Simplify right side
    205,800.75x = 104,500,502,673.89
  5. Step 5: Solve for x
    x = 104,500,502,673.89/205,800.75
  6. Step 6: Final answer
    x = 507,775.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.