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Finding the Third Proportional to 241,077.75 and 387,132

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Solution

The third proportional to 241,077.75 and 387,132 is: 621,671.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,077.75 : 387,132 = 387,132 : x
  2. Step 2: Convert to fraction form
    241,077.75/387,132 = 387,132/x
  3. Step 3: Cross multiply
    241,077.75x = 387,132 × 387,132
  4. Step 4: Simplify right side
    241,077.75x = 149,871,185,424
  5. Step 5: Solve for x
    x = 149,871,185,424/241,077.75
  6. Step 6: Final answer
    x = 621,671.58

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.