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Finding the Third Proportional to 134,001 and 287,436

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Solution

The third proportional to 134,001 and 287,436 is: 616,558.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,001 : 287,436 = 287,436 : x
  2. Step 2: Convert to fraction form
    134,001/287,436 = 287,436/x
  3. Step 3: Cross multiply
    134,001x = 287,436 × 287,436
  4. Step 4: Simplify right side
    134,001x = 82,619,454,096
  5. Step 5: Solve for x
    x = 82,619,454,096/134,001
  6. Step 6: Final answer
    x = 616,558.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.