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Finding the Third Proportional to 151,334 and 328,876

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Solution

The third proportional to 151,334 and 328,876 is: 714,706.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,334 : 328,876 = 328,876 : x
  2. Step 2: Convert to fraction form
    151,334/328,876 = 328,876/x
  3. Step 3: Cross multiply
    151,334x = 328,876 × 328,876
  4. Step 4: Simplify right side
    151,334x = 108,159,423,376
  5. Step 5: Solve for x
    x = 108,159,423,376/151,334
  6. Step 6: Final answer
    x = 714,706.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.