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Finding the Third Proportional to 154,261 and 233,036

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Solution

The third proportional to 154,261 and 233,036 is: 352,038.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,261 : 233,036 = 233,036 : x
  2. Step 2: Convert to fraction form
    154,261/233,036 = 233,036/x
  3. Step 3: Cross multiply
    154,261x = 233,036 × 233,036
  4. Step 4: Simplify right side
    154,261x = 54,305,777,296
  5. Step 5: Solve for x
    x = 54,305,777,296/154,261
  6. Step 6: Final answer
    x = 352,038.28

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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.