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Finding the Third Proportional to 160,035.75 and 214,768.13

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Solution

The third proportional to 160,035.75 and 214,768.13 is: 288,219.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,035.75 : 214,768.13 = 214,768.13 : x
  2. Step 2: Convert to fraction form
    160,035.75/214,768.13 = 214,768.13/x
  3. Step 3: Cross multiply
    160,035.75x = 214,768.13 × 214,768.13
  4. Step 4: Simplify right side
    160,035.75x = 46,125,347,516.02
  5. Step 5: Solve for x
    x = 46,125,347,516.02/160,035.75
  6. Step 6: Final answer
    x = 288,219.02

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.