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Finding the Third Proportional to 160,458.75 and 247,605.75

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Solution

The third proportional to 160,458.75 and 247,605.75 is: 382,083.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,458.75 : 247,605.75 = 247,605.75 : x
  2. Step 2: Convert to fraction form
    160,458.75/247,605.75 = 247,605.75/x
  3. Step 3: Cross multiply
    160,458.75x = 247,605.75 × 247,605.75
  4. Step 4: Simplify right side
    160,458.75x = 61,308,607,433.06
  5. Step 5: Solve for x
    x = 61,308,607,433.06/160,458.75
  6. Step 6: Final answer
    x = 382,083.29

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.