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Finding the Third Proportional to 158,592.09 and 332,753.06

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Solution

The third proportional to 158,592.09 and 332,753.06 is: 698,172.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,592.09 : 332,753.06 = 332,753.06 : x
  2. Step 2: Convert to fraction form
    158,592.09/332,753.06 = 332,753.06/x
  3. Step 3: Cross multiply
    158,592.09x = 332,753.06 × 332,753.06
  4. Step 4: Simplify right side
    158,592.09x = 110,724,600,603.13
  5. Step 5: Solve for x
    x = 110,724,600,603.13/158,592.09
  6. Step 6: Final answer
    x = 698,172.26

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.