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Finding the Third Proportional to 137,031.75 and 298,965.94

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Solution

The third proportional to 137,031.75 and 298,965.94 is: 652,262.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,031.75 : 298,965.94 = 298,965.94 : x
  2. Step 2: Convert to fraction form
    137,031.75/298,965.94 = 298,965.94/x
  3. Step 3: Cross multiply
    137,031.75x = 298,965.94 × 298,965.94
  4. Step 4: Simplify right side
    137,031.75x = 89,380,631,785.25
  5. Step 5: Solve for x
    x = 89,380,631,785.25/137,031.75
  6. Step 6: Final answer
    x = 652,262.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.