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Finding the Third Proportional to 163,050.75 and 356,980.50

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Solution

The third proportional to 163,050.75 and 356,980.50 is: 781,566.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,050.75 : 356,980.50 = 356,980.50 : x
  2. Step 2: Convert to fraction form
    163,050.75/356,980.50 = 356,980.50/x
  3. Step 3: Cross multiply
    163,050.75x = 356,980.50 × 356,980.50
  4. Step 4: Simplify right side
    163,050.75x = 127,435,077,380.25
  5. Step 5: Solve for x
    x = 127,435,077,380.25/163,050.75
  6. Step 6: Final answer
    x = 781,566.95

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.