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Finding the Third Proportional to 154,533 and 233,967

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Solution

The third proportional to 154,533 and 233,967 is: 354,232.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,533 : 233,967 = 233,967 : x
  2. Step 2: Convert to fraction form
    154,533/233,967 = 233,967/x
  3. Step 3: Cross multiply
    154,533x = 233,967 × 233,967
  4. Step 4: Simplify right side
    154,533x = 54,740,557,089
  5. Step 5: Solve for x
    x = 54,740,557,089/154,533
  6. Step 6: Final answer
    x = 354,232.15

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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.