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Finding the Third Proportional to 160,828.88 and 235,869.75

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Solution

The third proportional to 160,828.88 and 235,869.75 is: 345,923.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,828.88 : 235,869.75 = 235,869.75 : x
  2. Step 2: Convert to fraction form
    160,828.88/235,869.75 = 235,869.75/x
  3. Step 3: Cross multiply
    160,828.88x = 235,869.75 × 235,869.75
  4. Step 4: Simplify right side
    160,828.88x = 55,634,538,965.06
  5. Step 5: Solve for x
    x = 55,634,538,965.06/160,828.88
  6. Step 6: Final answer
    x = 345,923.82

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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.