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Finding the Third Proportional to 169,468 and 362,200

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Solution

The third proportional to 169,468 and 362,200 is: 774,121.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,468 : 362,200 = 362,200 : x
  2. Step 2: Convert to fraction form
    169,468/362,200 = 362,200/x
  3. Step 3: Cross multiply
    169,468x = 362,200 × 362,200
  4. Step 4: Simplify right side
    169,468x = 131,188,840,000
  5. Step 5: Solve for x
    x = 131,188,840,000/169,468
  6. Step 6: Final answer
    x = 774,121.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.