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Finding the Third Proportional to 210,805 and 308,320

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Solution

The third proportional to 210,805 and 308,320 is: 450,943.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,805 : 308,320 = 308,320 : x
  2. Step 2: Convert to fraction form
    210,805/308,320 = 308,320/x
  3. Step 3: Cross multiply
    210,805x = 308,320 × 308,320
  4. Step 4: Simplify right side
    210,805x = 95,061,222,400
  5. Step 5: Solve for x
    x = 95,061,222,400/210,805
  6. Step 6: Final answer
    x = 450,943.87

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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.