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Finding the Third Proportional to 185,288 and 377,118

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Solution

The third proportional to 185,288 and 377,118 is: 767,550.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,288 : 377,118 = 377,118 : x
  2. Step 2: Convert to fraction form
    185,288/377,118 = 377,118/x
  3. Step 3: Cross multiply
    185,288x = 377,118 × 377,118
  4. Step 4: Simplify right side
    185,288x = 142,217,985,924
  5. Step 5: Solve for x
    x = 142,217,985,924/185,288
  6. Step 6: Final answer
    x = 767,550.98

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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.