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Finding the Third Proportional to 179,476.88 and 277,869.66

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Solution

The third proportional to 179,476.88 and 277,869.66 is: 430,203.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,476.88 : 277,869.66 = 277,869.66 : x
  2. Step 2: Convert to fraction form
    179,476.88/277,869.66 = 277,869.66/x
  3. Step 3: Cross multiply
    179,476.88x = 277,869.66 × 277,869.66
  4. Step 4: Simplify right side
    179,476.88x = 77,211,545,864.49
  5. Step 5: Solve for x
    x = 77,211,545,864.49/179,476.88
  6. Step 6: Final answer
    x = 430,203.31

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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.