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Finding the Third Proportional to 162,878 and 350,380

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Solution

The third proportional to 162,878 and 350,380 is: 753,730.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,878 : 350,380 = 350,380 : x
  2. Step 2: Convert to fraction form
    162,878/350,380 = 350,380/x
  3. Step 3: Cross multiply
    162,878x = 350,380 × 350,380
  4. Step 4: Simplify right side
    162,878x = 122,766,144,400
  5. Step 5: Solve for x
    x = 122,766,144,400/162,878
  6. Step 6: Final answer
    x = 753,730.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.