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Finding the Third Proportional to 144,476.75 and 191,704.50

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Solution

The third proportional to 144,476.75 and 191,704.50 is: 254,370.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,476.75 : 191,704.50 = 191,704.50 : x
  2. Step 2: Convert to fraction form
    144,476.75/191,704.50 = 191,704.50/x
  3. Step 3: Cross multiply
    144,476.75x = 191,704.50 × 191,704.50
  4. Step 4: Simplify right side
    144,476.75x = 36,750,615,320.25
  5. Step 5: Solve for x
    x = 36,750,615,320.25/144,476.75
  6. Step 6: Final answer
    x = 254,370.45

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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.