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Finding the Third Proportional to 139,824 and 301,896

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Solution

The third proportional to 139,824 and 301,896 is: 651,827.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,824 : 301,896 = 301,896 : x
  2. Step 2: Convert to fraction form
    139,824/301,896 = 301,896/x
  3. Step 3: Cross multiply
    139,824x = 301,896 × 301,896
  4. Step 4: Simplify right side
    139,824x = 91,141,194,816
  5. Step 5: Solve for x
    x = 91,141,194,816/139,824
  6. Step 6: Final answer
    x = 651,827.98

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.