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Finding the Third Proportional to 154,930.50 and 328,464

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Solution

The third proportional to 154,930.50 and 328,464 is: 696,367.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,930.50 : 328,464 = 328,464 : x
  2. Step 2: Convert to fraction form
    154,930.50/328,464 = 328,464/x
  3. Step 3: Cross multiply
    154,930.50x = 328,464 × 328,464
  4. Step 4: Simplify right side
    154,930.50x = 107,888,599,296
  5. Step 5: Solve for x
    x = 107,888,599,296/154,930.50
  6. Step 6: Final answer
    x = 696,367.72

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