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Finding the Third Proportional to 182,775 and 400,858.50

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Solution

The third proportional to 182,775 and 400,858.50 is: 879,154.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,775 : 400,858.50 = 400,858.50 : x
  2. Step 2: Convert to fraction form
    182,775/400,858.50 = 400,858.50/x
  3. Step 3: Cross multiply
    182,775x = 400,858.50 × 400,858.50
  4. Step 4: Simplify right side
    182,775x = 160,687,537,022.25
  5. Step 5: Solve for x
    x = 160,687,537,022.25/182,775
  6. Step 6: Final answer
    x = 879,154.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.