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Finding the Third Proportional to 250,374 and 341,001

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Solution

The third proportional to 250,374 and 341,001 is: 464,431.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,374 : 341,001 = 341,001 : x
  2. Step 2: Convert to fraction form
    250,374/341,001 = 341,001/x
  3. Step 3: Cross multiply
    250,374x = 341,001 × 341,001
  4. Step 4: Simplify right side
    250,374x = 116,281,682,001
  5. Step 5: Solve for x
    x = 116,281,682,001/250,374
  6. Step 6: Final answer
    x = 464,431.94

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.