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Finding the Third Proportional to 161,058.38 and 370,200.38

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Solution

The third proportional to 161,058.38 and 370,200.38 is: 850,923.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,058.38 : 370,200.38 = 370,200.38 : x
  2. Step 2: Convert to fraction form
    161,058.38/370,200.38 = 370,200.38/x
  3. Step 3: Cross multiply
    161,058.38x = 370,200.38 × 370,200.38
  4. Step 4: Simplify right side
    161,058.38x = 137,048,317,650.14
  5. Step 5: Solve for x
    x = 137,048,317,650.14/161,058.38
  6. Step 6: Final answer
    x = 850,923.26

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.