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Finding the Third Proportional to 175,563 and 414,183

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Solution

The third proportional to 175,563 and 414,183 is: 977,128.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,563 : 414,183 = 414,183 : x
  2. Step 2: Convert to fraction form
    175,563/414,183 = 414,183/x
  3. Step 3: Cross multiply
    175,563x = 414,183 × 414,183
  4. Step 4: Simplify right side
    175,563x = 171,547,557,489
  5. Step 5: Solve for x
    x = 171,547,557,489/175,563
  6. Step 6: Final answer
    x = 977,128.20

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.