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Finding the Third Proportional to 189,072 and 292,725

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Solution

The third proportional to 189,072 and 292,725 is: 453,202.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,072 : 292,725 = 292,725 : x
  2. Step 2: Convert to fraction form
    189,072/292,725 = 292,725/x
  3. Step 3: Cross multiply
    189,072x = 292,725 × 292,725
  4. Step 4: Simplify right side
    189,072x = 85,687,925,625
  5. Step 5: Solve for x
    x = 85,687,925,625/189,072
  6. Step 6: Final answer
    x = 453,202.62

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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.