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Finding the Third Proportional to 115,752 and 237,648

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Solution

The third proportional to 115,752 and 237,648 is: 487,910.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,752 : 237,648 = 237,648 : x
  2. Step 2: Convert to fraction form
    115,752/237,648 = 237,648/x
  3. Step 3: Cross multiply
    115,752x = 237,648 × 237,648
  4. Step 4: Simplify right side
    115,752x = 56,476,571,904
  5. Step 5: Solve for x
    x = 56,476,571,904/115,752
  6. Step 6: Final answer
    x = 487,910.12

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.