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Finding the Third Proportional to 160,108 and 251,153

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Solution

The third proportional to 160,108 and 251,153 is: 393,970.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,108 : 251,153 = 251,153 : x
  2. Step 2: Convert to fraction form
    160,108/251,153 = 251,153/x
  3. Step 3: Cross multiply
    160,108x = 251,153 × 251,153
  4. Step 4: Simplify right side
    160,108x = 63,077,829,409
  5. Step 5: Solve for x
    x = 63,077,829,409/160,108
  6. Step 6: Final answer
    x = 393,970.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.