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Finding the Third Proportional to 182,094.75 and 371,412

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Solution

The third proportional to 182,094.75 and 371,412 is: 757,555.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,094.75 : 371,412 = 371,412 : x
  2. Step 2: Convert to fraction form
    182,094.75/371,412 = 371,412/x
  3. Step 3: Cross multiply
    182,094.75x = 371,412 × 371,412
  4. Step 4: Simplify right side
    182,094.75x = 137,946,873,744
  5. Step 5: Solve for x
    x = 137,946,873,744/182,094.75
  6. Step 6: Final answer
    x = 757,555.47

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.