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Finding the Third Proportional to 141,939 and 301,185

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Solution

The third proportional to 141,939 and 301,185 is: 639,094.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,939 : 301,185 = 301,185 : x
  2. Step 2: Convert to fraction form
    141,939/301,185 = 301,185/x
  3. Step 3: Cross multiply
    141,939x = 301,185 × 301,185
  4. Step 4: Simplify right side
    141,939x = 90,712,404,225
  5. Step 5: Solve for x
    x = 90,712,404,225/141,939
  6. Step 6: Final answer
    x = 639,094.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.