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Finding the Third Proportional to 160,171 and 245,683.50

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Solution

The third proportional to 160,171 and 245,683.50 is: 376,849.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,171 : 245,683.50 = 245,683.50 : x
  2. Step 2: Convert to fraction form
    160,171/245,683.50 = 245,683.50/x
  3. Step 3: Cross multiply
    160,171x = 245,683.50 × 245,683.50
  4. Step 4: Simplify right side
    160,171x = 60,360,382,172.25
  5. Step 5: Solve for x
    x = 60,360,382,172.25/160,171
  6. Step 6: Final answer
    x = 376,849.63

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.