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Finding the Third Proportional to 178,144 and 370,982

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Solution

The third proportional to 178,144 and 370,982 is: 772,564.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,144 : 370,982 = 370,982 : x
  2. Step 2: Convert to fraction form
    178,144/370,982 = 370,982/x
  3. Step 3: Cross multiply
    178,144x = 370,982 × 370,982
  4. Step 4: Simplify right side
    178,144x = 137,627,644,324
  5. Step 5: Solve for x
    x = 137,627,644,324/178,144
  6. Step 6: Final answer
    x = 772,564.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.