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Finding the Third Proportional to 137,925 and 301,689

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Solution

The third proportional to 137,925 and 301,689 is: 659,896.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,925 : 301,689 = 301,689 : x
  2. Step 2: Convert to fraction form
    137,925/301,689 = 301,689/x
  3. Step 3: Cross multiply
    137,925x = 301,689 × 301,689
  4. Step 4: Simplify right side
    137,925x = 91,016,252,721
  5. Step 5: Solve for x
    x = 91,016,252,721/137,925
  6. Step 6: Final answer
    x = 659,896.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.