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Finding the Third Proportional to 137,834.02 and 296,786.95

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Solution

The third proportional to 137,834.02 and 296,786.95 is: 639,047.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,834.02 : 296,786.95 = 296,786.95 : x
  2. Step 2: Convert to fraction form
    137,834.02/296,786.95 = 296,786.95/x
  3. Step 3: Cross multiply
    137,834.02x = 296,786.95 × 296,786.95
  4. Step 4: Simplify right side
    137,834.02x = 88,082,495,545.22
  5. Step 5: Solve for x
    x = 88,082,495,545.22/137,834.02
  6. Step 6: Final answer
    x = 639,047.59

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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.