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Finding the Third Proportional to 189,433 and 292,593

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Solution

The third proportional to 189,433 and 292,593 is: 451,931.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,433 : 292,593 = 292,593 : x
  2. Step 2: Convert to fraction form
    189,433/292,593 = 292,593/x
  3. Step 3: Cross multiply
    189,433x = 292,593 × 292,593
  4. Step 4: Simplify right side
    189,433x = 85,610,663,649
  5. Step 5: Solve for x
    x = 85,610,663,649/189,433
  6. Step 6: Final answer
    x = 451,931.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.