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Finding the Third Proportional to 154,934 and 328,471

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Solution

The third proportional to 154,934 and 328,471 is: 696,381.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,934 : 328,471 = 328,471 : x
  2. Step 2: Convert to fraction form
    154,934/328,471 = 328,471/x
  3. Step 3: Cross multiply
    154,934x = 328,471 × 328,471
  4. Step 4: Simplify right side
    154,934x = 107,893,197,841
  5. Step 5: Solve for x
    x = 107,893,197,841/154,934
  6. Step 6: Final answer
    x = 696,381.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.