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Finding the Third Proportional to 146,409 and 305,526

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Solution

The third proportional to 146,409 and 305,526 is: 637,571.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,409 : 305,526 = 305,526 : x
  2. Step 2: Convert to fraction form
    146,409/305,526 = 305,526/x
  3. Step 3: Cross multiply
    146,409x = 305,526 × 305,526
  4. Step 4: Simplify right side
    146,409x = 93,346,136,676
  5. Step 5: Solve for x
    x = 93,346,136,676/146,409
  6. Step 6: Final answer
    x = 637,571.03

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.