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Finding the Third Proportional to 154,264 and 233,039

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Solution

The third proportional to 154,264 and 233,039 is: 352,040.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,264 : 233,039 = 233,039 : x
  2. Step 2: Convert to fraction form
    154,264/233,039 = 233,039/x
  3. Step 3: Cross multiply
    154,264x = 233,039 × 233,039
  4. Step 4: Simplify right side
    154,264x = 54,307,175,521
  5. Step 5: Solve for x
    x = 54,307,175,521/154,264
  6. Step 6: Final answer
    x = 352,040.50

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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.