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Finding the Third Proportional to 160,090 and 231,868.50

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Solution

The third proportional to 160,090 and 231,868.50 is: 335,829.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,090 : 231,868.50 = 231,868.50 : x
  2. Step 2: Convert to fraction form
    160,090/231,868.50 = 231,868.50/x
  3. Step 3: Cross multiply
    160,090x = 231,868.50 × 231,868.50
  4. Step 4: Simplify right side
    160,090x = 53,763,001,292.25
  5. Step 5: Solve for x
    x = 53,763,001,292.25/160,090
  6. Step 6: Final answer
    x = 335,829.85

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.