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Finding the Third Proportional to 144,475.88 and 191,703.94

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Solution

The third proportional to 144,475.88 and 191,703.94 is: 254,370.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,475.88 : 191,703.94 = 191,703.94 : x
  2. Step 2: Convert to fraction form
    144,475.88/191,703.94 = 191,703.94/x
  3. Step 3: Cross multiply
    144,475.88x = 191,703.94 × 191,703.94
  4. Step 4: Simplify right side
    144,475.88x = 36,750,399,653.00
  5. Step 5: Solve for x
    x = 36,750,399,653.00/144,475.88
  6. Step 6: Final answer
    x = 254,370.49

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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.