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Finding the Third Proportional to 157,648 and 244,765

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Solution

The third proportional to 157,648 and 244,765 is: 380,023.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,648 : 244,765 = 244,765 : x
  2. Step 2: Convert to fraction form
    157,648/244,765 = 244,765/x
  3. Step 3: Cross multiply
    157,648x = 244,765 × 244,765
  4. Step 4: Simplify right side
    157,648x = 59,909,905,225
  5. Step 5: Solve for x
    x = 59,909,905,225/157,648
  6. Step 6: Final answer
    x = 380,023.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.