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Finding the Third Proportional to 144,475 and 191,754

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Solution

The third proportional to 144,475 and 191,754 is: 254,504.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,475 : 191,754 = 191,754 : x
  2. Step 2: Convert to fraction form
    144,475/191,754 = 191,754/x
  3. Step 3: Cross multiply
    144,475x = 191,754 × 191,754
  4. Step 4: Simplify right side
    144,475x = 36,769,596,516
  5. Step 5: Solve for x
    x = 36,769,596,516/144,475
  6. Step 6: Final answer
    x = 254,504.91

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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.