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Finding the Third Proportional to 183,387 and 278,827

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Solution

The third proportional to 183,387 and 278,827 is: 423,936.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,387 : 278,827 = 278,827 : x
  2. Step 2: Convert to fraction form
    183,387/278,827 = 278,827/x
  3. Step 3: Cross multiply
    183,387x = 278,827 × 278,827
  4. Step 4: Simplify right side
    183,387x = 77,744,495,929
  5. Step 5: Solve for x
    x = 77,744,495,929/183,387
  6. Step 6: Final answer
    x = 423,936.79

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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.