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Finding the Third Proportional to 189,200.50 and 292,981

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Solution

The third proportional to 189,200.50 and 292,981 is: 453,687.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,200.50 : 292,981 = 292,981 : x
  2. Step 2: Convert to fraction form
    189,200.50/292,981 = 292,981/x
  3. Step 3: Cross multiply
    189,200.50x = 292,981 × 292,981
  4. Step 4: Simplify right side
    189,200.50x = 85,837,866,361
  5. Step 5: Solve for x
    x = 85,837,866,361/189,200.50
  6. Step 6: Final answer
    x = 453,687.31

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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.