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Finding the Third Proportional to 158,620 and 233,544

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Solution

The third proportional to 158,620 and 233,544 is: 343,858.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,620 : 233,544 = 233,544 : x
  2. Step 2: Convert to fraction form
    158,620/233,544 = 233,544/x
  3. Step 3: Cross multiply
    158,620x = 233,544 × 233,544
  4. Step 4: Simplify right side
    158,620x = 54,542,799,936
  5. Step 5: Solve for x
    x = 54,542,799,936/158,620
  6. Step 6: Final answer
    x = 343,858.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.