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Finding the Third Proportional to 144,836 and 191,505

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Solution

The third proportional to 144,836 and 191,505 is: 253,211.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,836 : 191,505 = 191,505 : x
  2. Step 2: Convert to fraction form
    144,836/191,505 = 191,505/x
  3. Step 3: Cross multiply
    144,836x = 191,505 × 191,505
  4. Step 4: Simplify right side
    144,836x = 36,674,165,025
  5. Step 5: Solve for x
    x = 36,674,165,025/144,836
  6. Step 6: Final answer
    x = 253,211.67

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.