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Finding the Third Proportional to 210,210.75 and 323,092.13

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Solution

The third proportional to 210,210.75 and 323,092.13 is: 496,589.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,210.75 : 323,092.13 = 323,092.13 : x
  2. Step 2: Convert to fraction form
    210,210.75/323,092.13 = 323,092.13/x
  3. Step 3: Cross multiply
    210,210.75x = 323,092.13 × 323,092.13
  4. Step 4: Simplify right side
    210,210.75x = 104,388,521,237.02
  5. Step 5: Solve for x
    x = 104,388,521,237.02/210,210.75
  6. Step 6: Final answer
    x = 496,589.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.