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Finding the Third Proportional to 102,774 and 224,175

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Solution

The third proportional to 102,774 and 224,175 is: 488,980.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,774 : 224,175 = 224,175 : x
  2. Step 2: Convert to fraction form
    102,774/224,175 = 224,175/x
  3. Step 3: Cross multiply
    102,774x = 224,175 × 224,175
  4. Step 4: Simplify right side
    102,774x = 50,254,430,625
  5. Step 5: Solve for x
    x = 50,254,430,625/102,774
  6. Step 6: Final answer
    x = 488,980.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.