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Finding the Third Proportional to 224,234.50 and 344,655.50

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Solution

The third proportional to 224,234.50 and 344,655.50 is: 529,746.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,234.50 : 344,655.50 = 344,655.50 : x
  2. Step 2: Convert to fraction form
    224,234.50/344,655.50 = 344,655.50/x
  3. Step 3: Cross multiply
    224,234.50x = 344,655.50 × 344,655.50
  4. Step 4: Simplify right side
    224,234.50x = 118,787,413,680.25
  5. Step 5: Solve for x
    x = 118,787,413,680.25/224,234.50
  6. Step 6: Final answer
    x = 529,746.38

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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.