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Finding the Third Proportional to 236,482.88 and 339,962.06

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Solution

The third proportional to 236,482.88 and 339,962.06 is: 488,721.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,482.88 : 339,962.06 = 339,962.06 : x
  2. Step 2: Convert to fraction form
    236,482.88/339,962.06 = 339,962.06/x
  3. Step 3: Cross multiply
    236,482.88x = 339,962.06 × 339,962.06
  4. Step 4: Simplify right side
    236,482.88x = 115,574,203,939.25
  5. Step 5: Solve for x
    x = 115,574,203,939.25/236,482.88
  6. Step 6: Final answer
    x = 488,721.24

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.