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Finding the Third Proportional to 220,237.31 and 334,970.44

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Solution

The third proportional to 220,237.31 and 334,970.44 is: 509,474.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,237.31 : 334,970.44 = 334,970.44 : x
  2. Step 2: Convert to fraction form
    220,237.31/334,970.44 = 334,970.44/x
  3. Step 3: Cross multiply
    220,237.31x = 334,970.44 × 334,970.44
  4. Step 4: Simplify right side
    220,237.31x = 112,205,193,998.94
  5. Step 5: Solve for x
    x = 112,205,193,998.94/220,237.31
  6. Step 6: Final answer
    x = 509,474.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.