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Finding the Third Proportional to 155,094 and 233,937

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Solution

The third proportional to 155,094 and 233,937 is: 352,860.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,094 : 233,937 = 233,937 : x
  2. Step 2: Convert to fraction form
    155,094/233,937 = 233,937/x
  3. Step 3: Cross multiply
    155,094x = 233,937 × 233,937
  4. Step 4: Simplify right side
    155,094x = 54,726,519,969
  5. Step 5: Solve for x
    x = 54,726,519,969/155,094
  6. Step 6: Final answer
    x = 352,860.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.