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Finding the Third Proportional to 146,988 and 233,610

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Solution

The third proportional to 146,988 and 233,610 is: 371,279.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,988 : 233,610 = 233,610 : x
  2. Step 2: Convert to fraction form
    146,988/233,610 = 233,610/x
  3. Step 3: Cross multiply
    146,988x = 233,610 × 233,610
  4. Step 4: Simplify right side
    146,988x = 54,573,632,100
  5. Step 5: Solve for x
    x = 54,573,632,100/146,988
  6. Step 6: Final answer
    x = 371,279.51

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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.