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Finding the Third Proportional to 224,258 and 337,323

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Solution

The third proportional to 224,258 and 337,323 is: 507,392.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,258 : 337,323 = 337,323 : x
  2. Step 2: Convert to fraction form
    224,258/337,323 = 337,323/x
  3. Step 3: Cross multiply
    224,258x = 337,323 × 337,323
  4. Step 4: Simplify right side
    224,258x = 113,786,806,329
  5. Step 5: Solve for x
    x = 113,786,806,329/224,258
  6. Step 6: Final answer
    x = 507,392.41

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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.