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Finding the Third Proportional to 191,200.88 and 412,336.13

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Solution

The third proportional to 191,200.88 and 412,336.13 is: 889,227.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,200.88 : 412,336.13 = 412,336.13 : x
  2. Step 2: Convert to fraction form
    191,200.88/412,336.13 = 412,336.13/x
  3. Step 3: Cross multiply
    191,200.88x = 412,336.13 × 412,336.13
  4. Step 4: Simplify right side
    191,200.88x = 170,021,079,980.02
  5. Step 5: Solve for x
    x = 170,021,079,980.02/191,200.88
  6. Step 6: Final answer
    x = 889,227.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.