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Finding the Third Proportional to 236,820 and 351,622

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Solution

The third proportional to 236,820 and 351,622 is: 522,075.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,820 : 351,622 = 351,622 : x
  2. Step 2: Convert to fraction form
    236,820/351,622 = 351,622/x
  3. Step 3: Cross multiply
    236,820x = 351,622 × 351,622
  4. Step 4: Simplify right side
    236,820x = 123,638,030,884
  5. Step 5: Solve for x
    x = 123,638,030,884/236,820
  6. Step 6: Final answer
    x = 522,075.97

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.