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Finding the Third Proportional to 171,478.50 and 376,158

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Solution

The third proportional to 171,478.50 and 376,158 is: 825,146.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,478.50 : 376,158 = 376,158 : x
  2. Step 2: Convert to fraction form
    171,478.50/376,158 = 376,158/x
  3. Step 3: Cross multiply
    171,478.50x = 376,158 × 376,158
  4. Step 4: Simplify right side
    171,478.50x = 141,494,840,964
  5. Step 5: Solve for x
    x = 141,494,840,964/171,478.50
  6. Step 6: Final answer
    x = 825,146.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.