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Finding the Third Proportional to 145,817 and 224,945

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Solution

The third proportional to 145,817 and 224,945 is: 347,012.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,817 : 224,945 = 224,945 : x
  2. Step 2: Convert to fraction form
    145,817/224,945 = 224,945/x
  3. Step 3: Cross multiply
    145,817x = 224,945 × 224,945
  4. Step 4: Simplify right side
    145,817x = 50,600,253,025
  5. Step 5: Solve for x
    x = 50,600,253,025/145,817
  6. Step 6: Final answer
    x = 347,012.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.