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Finding the Third Proportional to 175,514 and 282,648

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Solution

The third proportional to 175,514 and 282,648 is: 455,176.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,514 : 282,648 = 282,648 : x
  2. Step 2: Convert to fraction form
    175,514/282,648 = 282,648/x
  3. Step 3: Cross multiply
    175,514x = 282,648 × 282,648
  4. Step 4: Simplify right side
    175,514x = 79,889,891,904
  5. Step 5: Solve for x
    x = 79,889,891,904/175,514
  6. Step 6: Final answer
    x = 455,176.75

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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.