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Finding the Third Proportional to 175,544 and 282,676

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Solution

The third proportional to 175,544 and 282,676 is: 455,189.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,544 : 282,676 = 282,676 : x
  2. Step 2: Convert to fraction form
    175,544/282,676 = 282,676/x
  3. Step 3: Cross multiply
    175,544x = 282,676 × 282,676
  4. Step 4: Simplify right side
    175,544x = 79,905,720,976
  5. Step 5: Solve for x
    x = 79,905,720,976/175,544
  6. Step 6: Final answer
    x = 455,189.13

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.