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Finding the Third Proportional to 224,572.50 and 322,810.50

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Solution

The third proportional to 224,572.50 and 322,810.50 is: 464,022.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,572.50 : 322,810.50 = 322,810.50 : x
  2. Step 2: Convert to fraction form
    224,572.50/322,810.50 = 322,810.50/x
  3. Step 3: Cross multiply
    224,572.50x = 322,810.50 × 322,810.50
  4. Step 4: Simplify right side
    224,572.50x = 104,206,618,910.25
  5. Step 5: Solve for x
    x = 104,206,618,910.25/224,572.50
  6. Step 6: Final answer
    x = 464,022.17

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.