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Finding the Third Proportional to 224,418.09 and 344,930.91

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Solution

The third proportional to 224,418.09 and 344,930.91 is: 530,159.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,418.09 : 344,930.91 = 344,930.91 : x
  2. Step 2: Convert to fraction form
    224,418.09/344,930.91 = 344,930.91/x
  3. Step 3: Cross multiply
    224,418.09x = 344,930.91 × 344,930.91
  4. Step 4: Simplify right side
    224,418.09x = 118,977,330,086.45
  5. Step 5: Solve for x
    x = 118,977,330,086.45/224,418.09
  6. Step 6: Final answer
    x = 530,159.26

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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.