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Finding the Third Proportional to 141,330 and 191,915

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Solution

The third proportional to 141,330 and 191,915 is: 260,605.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,330 : 191,915 = 191,915 : x
  2. Step 2: Convert to fraction form
    141,330/191,915 = 191,915/x
  3. Step 3: Cross multiply
    141,330x = 191,915 × 191,915
  4. Step 4: Simplify right side
    141,330x = 36,831,367,225
  5. Step 5: Solve for x
    x = 36,831,367,225/141,330
  6. Step 6: Final answer
    x = 260,605.44

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.