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Finding the Third Proportional to 221,671.50 and 334,835.25

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Solution

The third proportional to 221,671.50 and 334,835.25 is: 505,769.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,671.50 : 334,835.25 = 334,835.25 : x
  2. Step 2: Convert to fraction form
    221,671.50/334,835.25 = 334,835.25/x
  3. Step 3: Cross multiply
    221,671.50x = 334,835.25 × 334,835.25
  4. Step 4: Simplify right side
    221,671.50x = 112,114,644,642.56
  5. Step 5: Solve for x
    x = 112,114,644,642.56/221,671.50
  6. Step 6: Final answer
    x = 505,769.32

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Why These Related Problems?

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