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Finding the Third Proportional to 154,251 and 233,319

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Solution

The third proportional to 154,251 and 233,319 is: 352,916.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,251 : 233,319 = 233,319 : x
  2. Step 2: Convert to fraction form
    154,251/233,319 = 233,319/x
  3. Step 3: Cross multiply
    154,251x = 233,319 × 233,319
  4. Step 4: Simplify right side
    154,251x = 54,437,755,761
  5. Step 5: Solve for x
    x = 54,437,755,761/154,251
  6. Step 6: Final answer
    x = 352,916.71

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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.