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Finding the Third Proportional to 191,262.94 and 418,793.63

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Solution

The third proportional to 191,262.94 and 418,793.63 is: 916,999.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,262.94 : 418,793.63 = 418,793.63 : x
  2. Step 2: Convert to fraction form
    191,262.94/418,793.63 = 418,793.63/x
  3. Step 3: Cross multiply
    191,262.94x = 418,793.63 × 418,793.63
  4. Step 4: Simplify right side
    191,262.94x = 175,388,100,340.64
  5. Step 5: Solve for x
    x = 175,388,100,340.64/191,262.94
  6. Step 6: Final answer
    x = 916,999.93

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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.