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Finding the Third Proportional to 146,525 and 311,035

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Solution

The third proportional to 146,525 and 311,035 is: 660,247.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,525 : 311,035 = 311,035 : x
  2. Step 2: Convert to fraction form
    146,525/311,035 = 311,035/x
  3. Step 3: Cross multiply
    146,525x = 311,035 × 311,035
  4. Step 4: Simplify right side
    146,525x = 96,742,771,225
  5. Step 5: Solve for x
    x = 96,742,771,225/146,525
  6. Step 6: Final answer
    x = 660,247.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.