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Finding the Third Proportional to 224,194.50 and 342,859.50

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Solution

The third proportional to 224,194.50 and 342,859.50 is: 524,333.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,194.50 : 342,859.50 = 342,859.50 : x
  2. Step 2: Convert to fraction form
    224,194.50/342,859.50 = 342,859.50/x
  3. Step 3: Cross multiply
    224,194.50x = 342,859.50 × 342,859.50
  4. Step 4: Simplify right side
    224,194.50x = 117,552,636,740.25
  5. Step 5: Solve for x
    x = 117,552,636,740.25/224,194.50
  6. Step 6: Final answer
    x = 524,333.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.