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Finding the Third Proportional to 160,709.63 and 345,605.25

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Solution

The third proportional to 160,709.63 and 345,605.25 is: 743,222.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,709.63 : 345,605.25 = 345,605.25 : x
  2. Step 2: Convert to fraction form
    160,709.63/345,605.25 = 345,605.25/x
  3. Step 3: Cross multiply
    160,709.63x = 345,605.25 × 345,605.25
  4. Step 4: Simplify right side
    160,709.63x = 119,442,988,827.56
  5. Step 5: Solve for x
    x = 119,442,988,827.56/160,709.63
  6. Step 6: Final answer
    x = 743,222.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.