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Finding the Third Proportional to 160,096.50 and 251,133.75

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Solution

The third proportional to 160,096.50 and 251,133.75 is: 393,938.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,096.50 : 251,133.75 = 251,133.75 : x
  2. Step 2: Convert to fraction form
    160,096.50/251,133.75 = 251,133.75/x
  3. Step 3: Cross multiply
    160,096.50x = 251,133.75 × 251,133.75
  4. Step 4: Simplify right side
    160,096.50x = 63,068,160,389.06
  5. Step 5: Solve for x
    x = 63,068,160,389.06/160,096.50
  6. Step 6: Final answer
    x = 393,938.41

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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.