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Finding the Third Proportional to 183,879 and 278,569.50

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Solution

The third proportional to 183,879 and 278,569.50 is: 422,021.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,879 : 278,569.50 = 278,569.50 : x
  2. Step 2: Convert to fraction form
    183,879/278,569.50 = 278,569.50/x
  3. Step 3: Cross multiply
    183,879x = 278,569.50 × 278,569.50
  4. Step 4: Simplify right side
    183,879x = 77,600,966,330.25
  5. Step 5: Solve for x
    x = 77,600,966,330.25/183,879
  6. Step 6: Final answer
    x = 422,021.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.