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Finding the Third Proportional to 146,994 and 233,619

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Solution

The third proportional to 146,994 and 233,619 is: 371,292.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,994 : 233,619 = 233,619 : x
  2. Step 2: Convert to fraction form
    146,994/233,619 = 233,619/x
  3. Step 3: Cross multiply
    146,994x = 233,619 × 233,619
  4. Step 4: Simplify right side
    146,994x = 54,577,837,161
  5. Step 5: Solve for x
    x = 54,577,837,161/146,994
  6. Step 6: Final answer
    x = 371,292.96

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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.