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Finding the Third Proportional to 188,978.06 and 292,617.56

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Solution

The third proportional to 188,978.06 and 292,617.56 is: 453,095.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,978.06 : 292,617.56 = 292,617.56 : x
  2. Step 2: Convert to fraction form
    188,978.06/292,617.56 = 292,617.56/x
  3. Step 3: Cross multiply
    188,978.06x = 292,617.56 × 292,617.56
  4. Step 4: Simplify right side
    188,978.06x = 85,625,037,883.44
  5. Step 5: Solve for x
    x = 85,625,037,883.44/188,978.06
  6. Step 6: Final answer
    x = 453,095.12

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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.