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Finding the Third Proportional to 219,794.50 and 342,814

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Solution

The third proportional to 219,794.50 and 342,814 is: 534,687.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,794.50 : 342,814 = 342,814 : x
  2. Step 2: Convert to fraction form
    219,794.50/342,814 = 342,814/x
  3. Step 3: Cross multiply
    219,794.50x = 342,814 × 342,814
  4. Step 4: Simplify right side
    219,794.50x = 117,521,438,596
  5. Step 5: Solve for x
    x = 117,521,438,596/219,794.50
  6. Step 6: Final answer
    x = 534,687.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.