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Finding the Third Proportional to 199,028.25 and 292,669.88

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Solution

The third proportional to 199,028.25 and 292,669.88 is: 430,369.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,028.25 : 292,669.88 = 292,669.88 : x
  2. Step 2: Convert to fraction form
    199,028.25/292,669.88 = 292,669.88/x
  3. Step 3: Cross multiply
    199,028.25x = 292,669.88 × 292,669.88
  4. Step 4: Simplify right side
    199,028.25x = 85,655,655,732.52
  5. Step 5: Solve for x
    x = 85,655,655,732.52/199,028.25
  6. Step 6: Final answer
    x = 430,369.34

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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.