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Finding the Third Proportional to 224,095.50 and 490,147.50

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Solution

The third proportional to 224,095.50 and 490,147.50 is: 1,072,063.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,095.50 : 490,147.50 = 490,147.50 : x
  2. Step 2: Convert to fraction form
    224,095.50/490,147.50 = 490,147.50/x
  3. Step 3: Cross multiply
    224,095.50x = 490,147.50 × 490,147.50
  4. Step 4: Simplify right side
    224,095.50x = 240,244,571,756.25
  5. Step 5: Solve for x
    x = 240,244,571,756.25/224,095.50
  6. Step 6: Final answer
    x = 1,072,063.35

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.