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Finding the Third Proportional to 219,001.50 and 415,104.75

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Solution

The third proportional to 219,001.50 and 415,104.75 is: 786,807.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,001.50 : 415,104.75 = 415,104.75 : x
  2. Step 2: Convert to fraction form
    219,001.50/415,104.75 = 415,104.75/x
  3. Step 3: Cross multiply
    219,001.50x = 415,104.75 × 415,104.75
  4. Step 4: Simplify right side
    219,001.50x = 172,311,953,472.56
  5. Step 5: Solve for x
    x = 172,311,953,472.56/219,001.50
  6. Step 6: Final answer
    x = 786,807.18

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.