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Finding the Third Proportional to 194,066 and 308,594

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Solution

The third proportional to 194,066 and 308,594 is: 490,710.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,066 : 308,594 = 308,594 : x
  2. Step 2: Convert to fraction form
    194,066/308,594 = 308,594/x
  3. Step 3: Cross multiply
    194,066x = 308,594 × 308,594
  4. Step 4: Simplify right side
    194,066x = 95,230,256,836
  5. Step 5: Solve for x
    x = 95,230,256,836/194,066
  6. Step 6: Final answer
    x = 490,710.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.