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Finding the Third Proportional to 163,005.75 and 361,003.50

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Solution

The third proportional to 163,005.75 and 361,003.50 is: 799,502.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,005.75 : 361,003.50 = 361,003.50 : x
  2. Step 2: Convert to fraction form
    163,005.75/361,003.50 = 361,003.50/x
  3. Step 3: Cross multiply
    163,005.75x = 361,003.50 × 361,003.50
  4. Step 4: Simplify right side
    163,005.75x = 130,323,527,012.25
  5. Step 5: Solve for x
    x = 130,323,527,012.25/163,005.75
  6. Step 6: Final answer
    x = 799,502.64

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.