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Finding the Third Proportional to 205,538 and 307,466

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Solution

The third proportional to 205,538 and 307,466 is: 459,940.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,538 : 307,466 = 307,466 : x
  2. Step 2: Convert to fraction form
    205,538/307,466 = 307,466/x
  3. Step 3: Cross multiply
    205,538x = 307,466 × 307,466
  4. Step 4: Simplify right side
    205,538x = 94,535,341,156
  5. Step 5: Solve for x
    x = 94,535,341,156/205,538
  6. Step 6: Final answer
    x = 459,940.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.