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Finding the Third Proportional to 157,746 and 244,395

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Solution

The third proportional to 157,746 and 244,395 is: 378,639.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,746 : 244,395 = 244,395 : x
  2. Step 2: Convert to fraction form
    157,746/244,395 = 244,395/x
  3. Step 3: Cross multiply
    157,746x = 244,395 × 244,395
  4. Step 4: Simplify right side
    157,746x = 59,728,916,025
  5. Step 5: Solve for x
    x = 59,728,916,025/157,746
  6. Step 6: Final answer
    x = 378,639.81

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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.