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Finding the Third Proportional to 175,511 and 282,647

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Solution

The third proportional to 175,511 and 282,647 is: 455,181.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,511 : 282,647 = 282,647 : x
  2. Step 2: Convert to fraction form
    175,511/282,647 = 282,647/x
  3. Step 3: Cross multiply
    175,511x = 282,647 × 282,647
  4. Step 4: Simplify right side
    175,511x = 79,889,326,609
  5. Step 5: Solve for x
    x = 79,889,326,609/175,511
  6. Step 6: Final answer
    x = 455,181.31

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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.