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Finding the Third Proportional to 182,352 and 379,200

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Solution

The third proportional to 182,352 and 379,200 is: 788,544.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,352 : 379,200 = 379,200 : x
  2. Step 2: Convert to fraction form
    182,352/379,200 = 379,200/x
  3. Step 3: Cross multiply
    182,352x = 379,200 × 379,200
  4. Step 4: Simplify right side
    182,352x = 143,792,640,000
  5. Step 5: Solve for x
    x = 143,792,640,000/182,352
  6. Step 6: Final answer
    x = 788,544.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.