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Finding the Third Proportional to 154,261 and 233,034

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Solution

The third proportional to 154,261 and 233,034 is: 352,032.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,261 : 233,034 = 233,034 : x
  2. Step 2: Convert to fraction form
    154,261/233,034 = 233,034/x
  3. Step 3: Cross multiply
    154,261x = 233,034 × 233,034
  4. Step 4: Simplify right side
    154,261x = 54,304,845,156
  5. Step 5: Solve for x
    x = 54,304,845,156/154,261
  6. Step 6: Final answer
    x = 352,032.24

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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.