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Finding the Third Proportional to 137,094 and 300,918

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Solution

The third proportional to 137,094 and 300,918 is: 660,507.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,094 : 300,918 = 300,918 : x
  2. Step 2: Convert to fraction form
    137,094/300,918 = 300,918/x
  3. Step 3: Cross multiply
    137,094x = 300,918 × 300,918
  4. Step 4: Simplify right side
    137,094x = 90,551,642,724
  5. Step 5: Solve for x
    x = 90,551,642,724/137,094
  6. Step 6: Final answer
    x = 660,507.70

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.