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Finding the Third Proportional to 160,441 and 246,632

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Solution

The third proportional to 160,441 and 246,632 is: 379,125.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,441 : 246,632 = 246,632 : x
  2. Step 2: Convert to fraction form
    160,441/246,632 = 246,632/x
  3. Step 3: Cross multiply
    160,441x = 246,632 × 246,632
  4. Step 4: Simplify right side
    160,441x = 60,827,343,424
  5. Step 5: Solve for x
    x = 60,827,343,424/160,441
  6. Step 6: Final answer
    x = 379,125.93

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Why These Related Problems?

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