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Finding the Third Proportional to 183,706 and 278,327

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Solution

The third proportional to 183,706 and 278,327 is: 421,684.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,706 : 278,327 = 278,327 : x
  2. Step 2: Convert to fraction form
    183,706/278,327 = 278,327/x
  3. Step 3: Cross multiply
    183,706x = 278,327 × 278,327
  4. Step 4: Simplify right side
    183,706x = 77,465,918,929
  5. Step 5: Solve for x
    x = 77,465,918,929/183,706
  6. Step 6: Final answer
    x = 421,684.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.