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Finding the Third Proportional to 230,882 and 507,150

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Solution

The third proportional to 230,882 and 507,150 is: 1,113,993.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,882 : 507,150 = 507,150 : x
  2. Step 2: Convert to fraction form
    230,882/507,150 = 507,150/x
  3. Step 3: Cross multiply
    230,882x = 507,150 × 507,150
  4. Step 4: Simplify right side
    230,882x = 257,201,122,500
  5. Step 5: Solve for x
    x = 257,201,122,500/230,882
  6. Step 6: Final answer
    x = 1,113,993.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.