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Finding the Third Proportional to 224,251 and 356,606.50

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Solution

The third proportional to 224,251 and 356,606.50 is: 567,079.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,251 : 356,606.50 = 356,606.50 : x
  2. Step 2: Convert to fraction form
    224,251/356,606.50 = 356,606.50/x
  3. Step 3: Cross multiply
    224,251x = 356,606.50 × 356,606.50
  4. Step 4: Simplify right side
    224,251x = 127,168,195,842.25
  5. Step 5: Solve for x
    x = 127,168,195,842.25/224,251
  6. Step 6: Final answer
    x = 567,079.73

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.