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Finding the Third Proportional to 231,492.94 and 347,854.50

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Solution

The third proportional to 231,492.94 and 347,854.50 is: 522,706.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,492.94 : 347,854.50 = 347,854.50 : x
  2. Step 2: Convert to fraction form
    231,492.94/347,854.50 = 347,854.50/x
  3. Step 3: Cross multiply
    231,492.94x = 347,854.50 × 347,854.50
  4. Step 4: Simplify right side
    231,492.94x = 121,002,753,170.25
  5. Step 5: Solve for x
    x = 121,002,753,170.25/231,492.94
  6. Step 6: Final answer
    x = 522,706.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.