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Finding the Third Proportional to 210,856 and 308,830

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Solution

The third proportional to 210,856 and 308,830 is: 452,327.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,856 : 308,830 = 308,830 : x
  2. Step 2: Convert to fraction form
    210,856/308,830 = 308,830/x
  3. Step 3: Cross multiply
    210,856x = 308,830 × 308,830
  4. Step 4: Simplify right side
    210,856x = 95,375,968,900
  5. Step 5: Solve for x
    x = 95,375,968,900/210,856
  6. Step 6: Final answer
    x = 452,327.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.