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Finding the Third Proportional to 148,176 and 214,200

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Solution

The third proportional to 148,176 and 214,200 is: 309,642.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,176 : 214,200 = 214,200 : x
  2. Step 2: Convert to fraction form
    148,176/214,200 = 214,200/x
  3. Step 3: Cross multiply
    148,176x = 214,200 × 214,200
  4. Step 4: Simplify right side
    148,176x = 45,881,640,000
  5. Step 5: Solve for x
    x = 45,881,640,000/148,176
  6. Step 6: Final answer
    x = 309,642.86

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.