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Finding the Third Proportional to 120,238.59 and 190,384.59

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Solution

The third proportional to 120,238.59 and 190,384.59 is: 301,453.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,238.59 : 190,384.59 = 190,384.59 : x
  2. Step 2: Convert to fraction form
    120,238.59/190,384.59 = 190,384.59/x
  3. Step 3: Cross multiply
    120,238.59x = 190,384.59 × 190,384.59
  4. Step 4: Simplify right side
    120,238.59x = 36,246,293,537.35
  5. Step 5: Solve for x
    x = 36,246,293,537.35/120,238.59
  6. Step 6: Final answer
    x = 301,453.07

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.