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Finding the Third Proportional to 144,477 and 191,704

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Solution

The third proportional to 144,477 and 191,704 is: 254,368.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,477 : 191,704 = 191,704 : x
  2. Step 2: Convert to fraction form
    144,477/191,704 = 191,704/x
  3. Step 3: Cross multiply
    144,477x = 191,704 × 191,704
  4. Step 4: Simplify right side
    144,477x = 36,750,423,616
  5. Step 5: Solve for x
    x = 36,750,423,616/144,477
  6. Step 6: Final answer
    x = 254,368.68

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.