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Finding the Third Proportional to 224,246 and 337,017

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Solution

The third proportional to 224,246 and 337,017 is: 506,499.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,246 : 337,017 = 337,017 : x
  2. Step 2: Convert to fraction form
    224,246/337,017 = 337,017/x
  3. Step 3: Cross multiply
    224,246x = 337,017 × 337,017
  4. Step 4: Simplify right side
    224,246x = 113,580,458,289
  5. Step 5: Solve for x
    x = 113,580,458,289/224,246
  6. Step 6: Final answer
    x = 506,499.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.