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Finding the Third Proportional to 157,968 and 250,096

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Solution

The third proportional to 157,968 and 250,096 is: 395,953.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,968 : 250,096 = 250,096 : x
  2. Step 2: Convert to fraction form
    157,968/250,096 = 250,096/x
  3. Step 3: Cross multiply
    157,968x = 250,096 × 250,096
  4. Step 4: Simplify right side
    157,968x = 62,548,009,216
  5. Step 5: Solve for x
    x = 62,548,009,216/157,968
  6. Step 6: Final answer
    x = 395,953.67

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.