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Finding the Third Proportional to 160,826.06 and 236,560.78

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Solution

The third proportional to 160,826.06 and 236,560.78 is: 347,959.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,826.06 : 236,560.78 = 236,560.78 : x
  2. Step 2: Convert to fraction form
    160,826.06/236,560.78 = 236,560.78/x
  3. Step 3: Cross multiply
    160,826.06x = 236,560.78 × 236,560.78
  4. Step 4: Simplify right side
    160,826.06x = 55,961,003,225.61
  5. Step 5: Solve for x
    x = 55,961,003,225.61/160,826.06
  6. Step 6: Final answer
    x = 347,959.79

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.