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Finding the Third Proportional to 189,002 and 292,650

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Solution

The third proportional to 189,002 and 292,650 is: 453,138.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,002 : 292,650 = 292,650 : x
  2. Step 2: Convert to fraction form
    189,002/292,650 = 292,650/x
  3. Step 3: Cross multiply
    189,002x = 292,650 × 292,650
  4. Step 4: Simplify right side
    189,002x = 85,644,022,500
  5. Step 5: Solve for x
    x = 85,644,022,500/189,002
  6. Step 6: Final answer
    x = 453,138.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.