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Finding the Third Proportional to 137,938 and 295,562

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Solution

The third proportional to 137,938 and 295,562 is: 633,305.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,938 : 295,562 = 295,562 : x
  2. Step 2: Convert to fraction form
    137,938/295,562 = 295,562/x
  3. Step 3: Cross multiply
    137,938x = 295,562 × 295,562
  4. Step 4: Simplify right side
    137,938x = 87,356,895,844
  5. Step 5: Solve for x
    x = 87,356,895,844/137,938
  6. Step 6: Final answer
    x = 633,305.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.