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Finding the Third Proportional to 224,572.13 and 339,196.50

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Solution

The third proportional to 224,572.13 and 339,196.50 is: 512,326.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,572.13 : 339,196.50 = 339,196.50 : x
  2. Step 2: Convert to fraction form
    224,572.13/339,196.50 = 339,196.50/x
  3. Step 3: Cross multiply
    224,572.13x = 339,196.50 × 339,196.50
  4. Step 4: Simplify right side
    224,572.13x = 115,054,265,612.25
  5. Step 5: Solve for x
    x = 115,054,265,612.25/224,572.13
  6. Step 6: Final answer
    x = 512,326.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.