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Finding the Third Proportional to 194,094 and 260,820

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Solution

The third proportional to 194,094 and 260,820 is: 350,485.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,094 : 260,820 = 260,820 : x
  2. Step 2: Convert to fraction form
    194,094/260,820 = 260,820/x
  3. Step 3: Cross multiply
    194,094x = 260,820 × 260,820
  4. Step 4: Simplify right side
    194,094x = 68,027,072,400
  5. Step 5: Solve for x
    x = 68,027,072,400/194,094
  6. Step 6: Final answer
    x = 350,485.19

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.