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Finding the Third Proportional to 144,476.25 and 191,703.38

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Solution

The third proportional to 144,476.25 and 191,703.38 is: 254,368.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,476.25 : 191,703.38 = 191,703.38 : x
  2. Step 2: Convert to fraction form
    144,476.25/191,703.38 = 191,703.38/x
  3. Step 3: Cross multiply
    144,476.25x = 191,703.38 × 191,703.38
  4. Step 4: Simplify right side
    144,476.25x = 36,750,183,986.39
  5. Step 5: Solve for x
    x = 36,750,183,986.39/144,476.25
  6. Step 6: Final answer
    x = 254,368.34

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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.