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Finding the Third Proportional to 76,348 and 168,200

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Solution

The third proportional to 76,348 and 168,200 is: 370,556.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,348 : 168,200 = 168,200 : x
  2. Step 2: Convert to fraction form
    76,348/168,200 = 168,200/x
  3. Step 3: Cross multiply
    76,348x = 168,200 × 168,200
  4. Step 4: Simplify right side
    76,348x = 28,291,240,000
  5. Step 5: Solve for x
    x = 28,291,240,000/76,348
  6. Step 6: Final answer
    x = 370,556.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.