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Finding the Third Proportional to 210,214 and 315,012

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Solution

The third proportional to 210,214 and 315,012 is: 472,054.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,214 : 315,012 = 315,012 : x
  2. Step 2: Convert to fraction form
    210,214/315,012 = 315,012/x
  3. Step 3: Cross multiply
    210,214x = 315,012 × 315,012
  4. Step 4: Simplify right side
    210,214x = 99,232,560,144
  5. Step 5: Solve for x
    x = 99,232,560,144/210,214
  6. Step 6: Final answer
    x = 472,054.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.