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Finding the Third Proportional to 94,282 and 206,706

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Solution

The third proportional to 94,282 and 206,706 is: 453,186.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,282 : 206,706 = 206,706 : x
  2. Step 2: Convert to fraction form
    94,282/206,706 = 206,706/x
  3. Step 3: Cross multiply
    94,282x = 206,706 × 206,706
  4. Step 4: Simplify right side
    94,282x = 42,727,370,436
  5. Step 5: Solve for x
    x = 42,727,370,436/94,282
  6. Step 6: Final answer
    x = 453,186.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.