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Finding the Third Proportional to 224,321.25 and 344,796

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Solution

The third proportional to 224,321.25 and 344,796 is: 529,973.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,321.25 : 344,796 = 344,796 : x
  2. Step 2: Convert to fraction form
    224,321.25/344,796 = 344,796/x
  3. Step 3: Cross multiply
    224,321.25x = 344,796 × 344,796
  4. Step 4: Simplify right side
    224,321.25x = 118,884,281,616
  5. Step 5: Solve for x
    x = 118,884,281,616/224,321.25
  6. Step 6: Final answer
    x = 529,973.34

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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.