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Finding the Third Proportional to 199,638 and 292,011

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Solution

The third proportional to 199,638 and 292,011 is: 427,125.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,638 : 292,011 = 292,011 : x
  2. Step 2: Convert to fraction form
    199,638/292,011 = 292,011/x
  3. Step 3: Cross multiply
    199,638x = 292,011 × 292,011
  4. Step 4: Simplify right side
    199,638x = 85,270,424,121
  5. Step 5: Solve for x
    x = 85,270,424,121/199,638
  6. Step 6: Final answer
    x = 427,125.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.