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Finding the Third Proportional to 179,445.38 and 277,647.75

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Solution

The third proportional to 179,445.38 and 277,647.75 is: 429,591.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,445.38 : 277,647.75 = 277,647.75 : x
  2. Step 2: Convert to fraction form
    179,445.38/277,647.75 = 277,647.75/x
  3. Step 3: Cross multiply
    179,445.38x = 277,647.75 × 277,647.75
  4. Step 4: Simplify right side
    179,445.38x = 77,088,273,080.06
  5. Step 5: Solve for x
    x = 77,088,273,080.06/179,445.38
  6. Step 6: Final answer
    x = 429,591.86

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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.