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Finding the Third Proportional to 224,254 and 356,611

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Solution

The third proportional to 224,254 and 356,611 is: 567,086.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,254 : 356,611 = 356,611 : x
  2. Step 2: Convert to fraction form
    224,254/356,611 = 356,611/x
  3. Step 3: Cross multiply
    224,254x = 356,611 × 356,611
  4. Step 4: Simplify right side
    224,254x = 127,171,405,321
  5. Step 5: Solve for x
    x = 127,171,405,321/224,254
  6. Step 6: Final answer
    x = 567,086.45

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Why These Related Problems?

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