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Finding the Third Proportional to 146,731.69 and 233,410.88

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Solution

The third proportional to 146,731.69 and 233,410.88 is: 371,294.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,731.69 : 233,410.88 = 233,410.88 : x
  2. Step 2: Convert to fraction form
    146,731.69/233,410.88 = 233,410.88/x
  3. Step 3: Cross multiply
    146,731.69x = 233,410.88 × 233,410.88
  4. Step 4: Simplify right side
    146,731.69x = 54,480,636,568.27
  5. Step 5: Solve for x
    x = 54,480,636,568.27/146,731.69
  6. Step 6: Final answer
    x = 371,294.28

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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.