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Finding the Third Proportional to 75,297.94 and 156,838.50

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Solution

The third proportional to 75,297.94 and 156,838.50 is: 326,679.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,297.94 : 156,838.50 = 156,838.50 : x
  2. Step 2: Convert to fraction form
    75,297.94/156,838.50 = 156,838.50/x
  3. Step 3: Cross multiply
    75,297.94x = 156,838.50 × 156,838.50
  4. Step 4: Simplify right side
    75,297.94x = 24,598,315,082.25
  5. Step 5: Solve for x
    x = 24,598,315,082.25/75,297.94
  6. Step 6: Final answer
    x = 326,679.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.