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Finding the Third Proportional to 155,931 and 328,162

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Solution

The third proportional to 155,931 and 328,162 is: 690,627.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,931 : 328,162 = 328,162 : x
  2. Step 2: Convert to fraction form
    155,931/328,162 = 328,162/x
  3. Step 3: Cross multiply
    155,931x = 328,162 × 328,162
  4. Step 4: Simplify right side
    155,931x = 107,690,298,244
  5. Step 5: Solve for x
    x = 107,690,298,244/155,931
  6. Step 6: Final answer
    x = 690,627.89

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.