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Finding the Third Proportional to 163,471.50 and 219,246.75

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Solution

The third proportional to 163,471.50 and 219,246.75 is: 294,052.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,471.50 : 219,246.75 = 219,246.75 : x
  2. Step 2: Convert to fraction form
    163,471.50/219,246.75 = 219,246.75/x
  3. Step 3: Cross multiply
    163,471.50x = 219,246.75 × 219,246.75
  4. Step 4: Simplify right side
    163,471.50x = 48,069,137,385.56
  5. Step 5: Solve for x
    x = 48,069,137,385.56/163,471.50
  6. Step 6: Final answer
    x = 294,052.10

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.