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Finding the Third Proportional to 146,730.23 and 233,409.09

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Solution

The third proportional to 146,730.23 and 233,409.09 is: 371,292.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,730.23 : 233,409.09 = 233,409.09 : x
  2. Step 2: Convert to fraction form
    146,730.23/233,409.09 = 233,409.09/x
  3. Step 3: Cross multiply
    146,730.23x = 233,409.09 × 233,409.09
  4. Step 4: Simplify right side
    146,730.23x = 54,479,805,045.20
  5. Step 5: Solve for x
    x = 54,479,805,045.20/146,730.23
  6. Step 6: Final answer
    x = 371,292.29

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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.