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Finding the Third Proportional to 219,687 and 351,640.50

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Solution

The third proportional to 219,687 and 351,640.50 is: 562,850.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,687 : 351,640.50 = 351,640.50 : x
  2. Step 2: Convert to fraction form
    219,687/351,640.50 = 351,640.50/x
  3. Step 3: Cross multiply
    219,687x = 351,640.50 × 351,640.50
  4. Step 4: Simplify right side
    219,687x = 123,651,041,240.25
  5. Step 5: Solve for x
    x = 123,651,041,240.25/219,687
  6. Step 6: Final answer
    x = 562,850.97

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.