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Finding the Third Proportional to 183,384 and 278,822.25

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Solution

The third proportional to 183,384 and 278,822.25 is: 423,929.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,384 : 278,822.25 = 278,822.25 : x
  2. Step 2: Convert to fraction form
    183,384/278,822.25 = 278,822.25/x
  3. Step 3: Cross multiply
    183,384x = 278,822.25 × 278,822.25
  4. Step 4: Simplify right side
    183,384x = 77,741,847,095.06
  5. Step 5: Solve for x
    x = 77,741,847,095.06/183,384
  6. Step 6: Final answer
    x = 423,929.28

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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.