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Finding the Third Proportional to 146,669 and 233,132

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Solution

The third proportional to 146,669 and 233,132 is: 370,565.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,669 : 233,132 = 233,132 : x
  2. Step 2: Convert to fraction form
    146,669/233,132 = 233,132/x
  3. Step 3: Cross multiply
    146,669x = 233,132 × 233,132
  4. Step 4: Simplify right side
    146,669x = 54,350,529,424
  5. Step 5: Solve for x
    x = 54,350,529,424/146,669
  6. Step 6: Final answer
    x = 370,565.90

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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.