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Finding the Third Proportional to 219,024.50 and 320,221.50

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Solution

The third proportional to 219,024.50 and 320,221.50 is: 468,175.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,024.50 : 320,221.50 = 320,221.50 : x
  2. Step 2: Convert to fraction form
    219,024.50/320,221.50 = 320,221.50/x
  3. Step 3: Cross multiply
    219,024.50x = 320,221.50 × 320,221.50
  4. Step 4: Simplify right side
    219,024.50x = 102,541,809,062.25
  5. Step 5: Solve for x
    x = 102,541,809,062.25/219,024.50
  6. Step 6: Final answer
    x = 468,175.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.