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Finding the Third Proportional to 199,041 and 292,689

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Solution

The third proportional to 199,041 and 292,689 is: 430,398.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,041 : 292,689 = 292,689 : x
  2. Step 2: Convert to fraction form
    199,041/292,689 = 292,689/x
  3. Step 3: Cross multiply
    199,041x = 292,689 × 292,689
  4. Step 4: Simplify right side
    199,041x = 85,666,850,721
  5. Step 5: Solve for x
    x = 85,666,850,721/199,041
  6. Step 6: Final answer
    x = 430,398.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.