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Finding the Third Proportional to 157,239 and 241,976

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Solution

The third proportional to 157,239 and 241,976 is: 372,378.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,239 : 241,976 = 241,976 : x
  2. Step 2: Convert to fraction form
    157,239/241,976 = 241,976/x
  3. Step 3: Cross multiply
    157,239x = 241,976 × 241,976
  4. Step 4: Simplify right side
    157,239x = 58,552,384,576
  5. Step 5: Solve for x
    x = 58,552,384,576/157,239
  6. Step 6: Final answer
    x = 372,378.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.