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Finding the Third Proportional to 185,358 and 377,268

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Solution

The third proportional to 185,358 and 377,268 is: 767,871.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,358 : 377,268 = 377,268 : x
  2. Step 2: Convert to fraction form
    185,358/377,268 = 377,268/x
  3. Step 3: Cross multiply
    185,358x = 377,268 × 377,268
  4. Step 4: Simplify right side
    185,358x = 142,331,143,824
  5. Step 5: Solve for x
    x = 142,331,143,824/185,358
  6. Step 6: Final answer
    x = 767,871.60

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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.