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Finding the Third Proportional to 199,470.75 and 437,092.13

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Solution

The third proportional to 199,470.75 and 437,092.13 is: 957,782.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,470.75 : 437,092.13 = 437,092.13 : x
  2. Step 2: Convert to fraction form
    199,470.75/437,092.13 = 437,092.13/x
  3. Step 3: Cross multiply
    199,470.75x = 437,092.13 × 437,092.13
  4. Step 4: Simplify right side
    199,470.75x = 191,049,525,737.02
  5. Step 5: Solve for x
    x = 191,049,525,737.02/199,470.75
  6. Step 6: Final answer
    x = 957,782.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.