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Finding the Third Proportional to 154,328 and 233,135

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Solution

The third proportional to 154,328 and 233,135 is: 352,184.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,328 : 233,135 = 233,135 : x
  2. Step 2: Convert to fraction form
    154,328/233,135 = 233,135/x
  3. Step 3: Cross multiply
    154,328x = 233,135 × 233,135
  4. Step 4: Simplify right side
    154,328x = 54,351,928,225
  5. Step 5: Solve for x
    x = 54,351,928,225/154,328
  6. Step 6: Final answer
    x = 352,184.49

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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.