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Finding the Third Proportional to 189,200.75 and 292,981.25

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Solution

The third proportional to 189,200.75 and 292,981.25 is: 453,687.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,200.75 : 292,981.25 = 292,981.25 : x
  2. Step 2: Convert to fraction form
    189,200.75/292,981.25 = 292,981.25/x
  3. Step 3: Cross multiply
    189,200.75x = 292,981.25 × 292,981.25
  4. Step 4: Simplify right side
    189,200.75x = 85,838,012,851.56
  5. Step 5: Solve for x
    x = 85,838,012,851.56/189,200.75
  6. Step 6: Final answer
    x = 453,687.49

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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.