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Finding the Third Proportional to 210,462.75 and 319,077

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Solution

The third proportional to 210,462.75 and 319,077 is: 483,744.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,462.75 : 319,077 = 319,077 : x
  2. Step 2: Convert to fraction form
    210,462.75/319,077 = 319,077/x
  3. Step 3: Cross multiply
    210,462.75x = 319,077 × 319,077
  4. Step 4: Simplify right side
    210,462.75x = 101,810,131,929
  5. Step 5: Solve for x
    x = 101,810,131,929/210,462.75
  6. Step 6: Final answer
    x = 483,744.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.