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Finding the Third Proportional to 185,278 and 377,102

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Solution

The third proportional to 185,278 and 377,102 is: 767,527.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,278 : 377,102 = 377,102 : x
  2. Step 2: Convert to fraction form
    185,278/377,102 = 377,102/x
  3. Step 3: Cross multiply
    185,278x = 377,102 × 377,102
  4. Step 4: Simplify right side
    185,278x = 142,205,918,404
  5. Step 5: Solve for x
    x = 142,205,918,404/185,278
  6. Step 6: Final answer
    x = 767,527.27

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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.