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Finding the Third Proportional to 137,375 and 289,510

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Solution

The third proportional to 137,375 and 289,510 is: 610,125.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,375 : 289,510 = 289,510 : x
  2. Step 2: Convert to fraction form
    137,375/289,510 = 289,510/x
  3. Step 3: Cross multiply
    137,375x = 289,510 × 289,510
  4. Step 4: Simplify right side
    137,375x = 83,816,040,100
  5. Step 5: Solve for x
    x = 83,816,040,100/137,375
  6. Step 6: Final answer
    x = 610,125.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.