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Finding the Third Proportional to 179,402.88 and 277,786.50

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Solution

The third proportional to 179,402.88 and 277,786.50 is: 430,123.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,402.88 : 277,786.50 = 277,786.50 : x
  2. Step 2: Convert to fraction form
    179,402.88/277,786.50 = 277,786.50/x
  3. Step 3: Cross multiply
    179,402.88x = 277,786.50 × 277,786.50
  4. Step 4: Simplify right side
    179,402.88x = 77,165,339,582.25
  5. Step 5: Solve for x
    x = 77,165,339,582.25/179,402.88
  6. Step 6: Final answer
    x = 430,123.21

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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.