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Finding the Third Proportional to 119,632 and 251,664

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Solution

The third proportional to 119,632 and 251,664 is: 529,413.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,632 : 251,664 = 251,664 : x
  2. Step 2: Convert to fraction form
    119,632/251,664 = 251,664/x
  3. Step 3: Cross multiply
    119,632x = 251,664 × 251,664
  4. Step 4: Simplify right side
    119,632x = 63,334,768,896
  5. Step 5: Solve for x
    x = 63,334,768,896/119,632
  6. Step 6: Final answer
    x = 529,413.27

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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.