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Finding the Third Proportional to 224,748 and 337,014

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Solution

The third proportional to 224,748 and 337,014 is: 505,359.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,748 : 337,014 = 337,014 : x
  2. Step 2: Convert to fraction form
    224,748/337,014 = 337,014/x
  3. Step 3: Cross multiply
    224,748x = 337,014 × 337,014
  4. Step 4: Simplify right side
    224,748x = 113,578,436,196
  5. Step 5: Solve for x
    x = 113,578,436,196/224,748
  6. Step 6: Final answer
    x = 505,359.05

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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.