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Finding the Third Proportional to 194,095.50 and 308,640

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Solution

The third proportional to 194,095.50 and 308,640 is: 490,782.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,095.50 : 308,640 = 308,640 : x
  2. Step 2: Convert to fraction form
    194,095.50/308,640 = 308,640/x
  3. Step 3: Cross multiply
    194,095.50x = 308,640 × 308,640
  4. Step 4: Simplify right side
    194,095.50x = 95,258,649,600
  5. Step 5: Solve for x
    x = 95,258,649,600/194,095.50
  6. Step 6: Final answer
    x = 490,782.37

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