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Finding the Third Proportional to 232,825.50 and 369,285.75

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Solution

The third proportional to 232,825.50 and 369,285.75 is: 585,726.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,825.50 : 369,285.75 = 369,285.75 : x
  2. Step 2: Convert to fraction form
    232,825.50/369,285.75 = 369,285.75/x
  3. Step 3: Cross multiply
    232,825.50x = 369,285.75 × 369,285.75
  4. Step 4: Simplify right side
    232,825.50x = 136,371,965,153.06
  5. Step 5: Solve for x
    x = 136,371,965,153.06/232,825.50
  6. Step 6: Final answer
    x = 585,726.07

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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.