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Finding the Third Proportional to 179,881.50 and 277,934.25

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Solution

The third proportional to 179,881.50 and 277,934.25 is: 429,435.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,881.50 : 277,934.25 = 277,934.25 : x
  2. Step 2: Convert to fraction form
    179,881.50/277,934.25 = 277,934.25/x
  3. Step 3: Cross multiply
    179,881.50x = 277,934.25 × 277,934.25
  4. Step 4: Simplify right side
    179,881.50x = 77,247,447,323.06
  5. Step 5: Solve for x
    x = 77,247,447,323.06/179,881.50
  6. Step 6: Final answer
    x = 429,435.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.