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Finding the Third Proportional to 206,340.75 and 307,566

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Solution

The third proportional to 206,340.75 and 307,566 is: 458,449.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,340.75 : 307,566 = 307,566 : x
  2. Step 2: Convert to fraction form
    206,340.75/307,566 = 307,566/x
  3. Step 3: Cross multiply
    206,340.75x = 307,566 × 307,566
  4. Step 4: Simplify right side
    206,340.75x = 94,596,844,356
  5. Step 5: Solve for x
    x = 94,596,844,356/206,340.75
  6. Step 6: Final answer
    x = 458,449.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.