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Finding the Third Proportional to 191,838.38 and 407,055.38

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Solution

The third proportional to 191,838.38 and 407,055.38 is: 863,717.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,838.38 : 407,055.38 = 407,055.38 : x
  2. Step 2: Convert to fraction form
    191,838.38/407,055.38 = 407,055.38/x
  3. Step 3: Cross multiply
    191,838.38x = 407,055.38 × 407,055.38
  4. Step 4: Simplify right side
    191,838.38x = 165,694,078,316.39
  5. Step 5: Solve for x
    x = 165,694,078,316.39/191,838.38
  6. Step 6: Final answer
    x = 863,717.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.