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Finding the Third Proportional to 238,860 and 360,978

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Solution

The third proportional to 238,860 and 360,978 is: 545,529.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,860 : 360,978 = 360,978 : x
  2. Step 2: Convert to fraction form
    238,860/360,978 = 360,978/x
  3. Step 3: Cross multiply
    238,860x = 360,978 × 360,978
  4. Step 4: Simplify right side
    238,860x = 130,305,116,484
  5. Step 5: Solve for x
    x = 130,305,116,484/238,860
  6. Step 6: Final answer
    x = 545,529.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.