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Finding the Third Proportional to 179,479.69 and 277,873.31

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Solution

The third proportional to 179,479.69 and 277,873.31 is: 430,207.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,479.69 : 277,873.31 = 277,873.31 : x
  2. Step 2: Convert to fraction form
    179,479.69/277,873.31 = 277,873.31/x
  3. Step 3: Cross multiply
    179,479.69x = 277,873.31 × 277,873.31
  4. Step 4: Simplify right side
    179,479.69x = 77,213,577,799.72
  5. Step 5: Solve for x
    x = 77,213,577,799.72/179,479.69
  6. Step 6: Final answer
    x = 430,207.89

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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.