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Finding the Third Proportional to 224,533.69 and 348,625.69

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Solution

The third proportional to 224,533.69 and 348,625.69 is: 541,299.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,533.69 : 348,625.69 = 348,625.69 : x
  2. Step 2: Convert to fraction form
    224,533.69/348,625.69 = 348,625.69/x
  3. Step 3: Cross multiply
    224,533.69x = 348,625.69 × 348,625.69
  4. Step 4: Simplify right side
    224,533.69x = 121,539,869,984.85
  5. Step 5: Solve for x
    x = 121,539,869,984.85/224,533.69
  6. Step 6: Final answer
    x = 541,299.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.