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Finding the Third Proportional to 191,602 and 294,099

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Solution

The third proportional to 191,602 and 294,099 is: 451,426.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,602 : 294,099 = 294,099 : x
  2. Step 2: Convert to fraction form
    191,602/294,099 = 294,099/x
  3. Step 3: Cross multiply
    191,602x = 294,099 × 294,099
  4. Step 4: Simplify right side
    191,602x = 86,494,221,801
  5. Step 5: Solve for x
    x = 86,494,221,801/191,602
  6. Step 6: Final answer
    x = 451,426.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.