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Finding the Third Proportional to 224,445 and 338,997

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Solution

The third proportional to 224,445 and 338,997 is: 512,013.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,445 : 338,997 = 338,997 : x
  2. Step 2: Convert to fraction form
    224,445/338,997 = 338,997/x
  3. Step 3: Cross multiply
    224,445x = 338,997 × 338,997
  4. Step 4: Simplify right side
    224,445x = 114,918,966,009
  5. Step 5: Solve for x
    x = 114,918,966,009/224,445
  6. Step 6: Final answer
    x = 512,013.93

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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.