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Finding the Third Proportional to 146,731.50 and 233,412

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Solution

The third proportional to 146,731.50 and 233,412 is: 371,298.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,731.50 : 233,412 = 233,412 : x
  2. Step 2: Convert to fraction form
    146,731.50/233,412 = 233,412/x
  3. Step 3: Cross multiply
    146,731.50x = 233,412 × 233,412
  4. Step 4: Simplify right side
    146,731.50x = 54,481,161,744
  5. Step 5: Solve for x
    x = 54,481,161,744/146,731.50
  6. Step 6: Final answer
    x = 371,298.34

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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.