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Finding the Third Proportional to 183,084.19 and 277,208.16

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Solution

The third proportional to 183,084.19 and 277,208.16 is: 419,721.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,084.19 : 277,208.16 = 277,208.16 : x
  2. Step 2: Convert to fraction form
    183,084.19/277,208.16 = 277,208.16/x
  3. Step 3: Cross multiply
    183,084.19x = 277,208.16 × 277,208.16
  4. Step 4: Simplify right side
    183,084.19x = 76,844,361,891.52
  5. Step 5: Solve for x
    x = 76,844,361,891.52/183,084.19
  6. Step 6: Final answer
    x = 419,721.46

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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.