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Finding the Third Proportional to 173,788 and 367,280

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Solution

The third proportional to 173,788 and 367,280 is: 776,202.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,788 : 367,280 = 367,280 : x
  2. Step 2: Convert to fraction form
    173,788/367,280 = 367,280/x
  3. Step 3: Cross multiply
    173,788x = 367,280 × 367,280
  4. Step 4: Simplify right side
    173,788x = 134,894,598,400
  5. Step 5: Solve for x
    x = 134,894,598,400/173,788
  6. Step 6: Final answer
    x = 776,202.03

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.