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Finding the Third Proportional to 160,756.50 and 353,238

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Solution

The third proportional to 160,756.50 and 353,238 is: 776,186.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,756.50 : 353,238 = 353,238 : x
  2. Step 2: Convert to fraction form
    160,756.50/353,238 = 353,238/x
  3. Step 3: Cross multiply
    160,756.50x = 353,238 × 353,238
  4. Step 4: Simplify right side
    160,756.50x = 124,777,084,644
  5. Step 5: Solve for x
    x = 124,777,084,644/160,756.50
  6. Step 6: Final answer
    x = 776,186.87

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.