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Finding the Third Proportional to 180,594 and 373,932

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Solution

The third proportional to 180,594 and 373,932 is: 774,251.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,594 : 373,932 = 373,932 : x
  2. Step 2: Convert to fraction form
    180,594/373,932 = 373,932/x
  3. Step 3: Cross multiply
    180,594x = 373,932 × 373,932
  4. Step 4: Simplify right side
    180,594x = 139,825,140,624
  5. Step 5: Solve for x
    x = 139,825,140,624/180,594
  6. Step 6: Final answer
    x = 774,251.31

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.