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Finding the Third Proportional to 224,751 and 347,980.50

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Solution

The third proportional to 224,751 and 347,980.50 is: 538,775.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,751 : 347,980.50 = 347,980.50 : x
  2. Step 2: Convert to fraction form
    224,751/347,980.50 = 347,980.50/x
  3. Step 3: Cross multiply
    224,751x = 347,980.50 × 347,980.50
  4. Step 4: Simplify right side
    224,751x = 121,090,428,380.25
  5. Step 5: Solve for x
    x = 121,090,428,380.25/224,751
  6. Step 6: Final answer
    x = 538,775.93

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.