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Finding the Third Proportional to 224,613 and 339,258

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Solution

The third proportional to 224,613 and 339,258 is: 512,419.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,613 : 339,258 = 339,258 : x
  2. Step 2: Convert to fraction form
    224,613/339,258 = 339,258/x
  3. Step 3: Cross multiply
    224,613x = 339,258 × 339,258
  4. Step 4: Simplify right side
    224,613x = 115,095,990,564
  5. Step 5: Solve for x
    x = 115,095,990,564/224,613
  6. Step 6: Final answer
    x = 512,419.10

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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.