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Finding the Third Proportional to 185,271.75 and 377,104.50

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Solution

The third proportional to 185,271.75 and 377,104.50 is: 767,563.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,271.75 : 377,104.50 = 377,104.50 : x
  2. Step 2: Convert to fraction form
    185,271.75/377,104.50 = 377,104.50/x
  3. Step 3: Cross multiply
    185,271.75x = 377,104.50 × 377,104.50
  4. Step 4: Simplify right side
    185,271.75x = 142,207,803,920.25
  5. Step 5: Solve for x
    x = 142,207,803,920.25/185,271.75
  6. Step 6: Final answer
    x = 767,563.34

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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.