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Finding the Third Proportional to 190,758 and 282,897

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Solution

The third proportional to 190,758 and 282,897 is: 419,540.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,758 : 282,897 = 282,897 : x
  2. Step 2: Convert to fraction form
    190,758/282,897 = 282,897/x
  3. Step 3: Cross multiply
    190,758x = 282,897 × 282,897
  4. Step 4: Simplify right side
    190,758x = 80,030,712,609
  5. Step 5: Solve for x
    x = 80,030,712,609/190,758
  6. Step 6: Final answer
    x = 419,540.53

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.