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Finding the Third Proportional to 141,483 and 305,094

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Solution

The third proportional to 141,483 and 305,094 is: 657,904.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,483 : 305,094 = 305,094 : x
  2. Step 2: Convert to fraction form
    141,483/305,094 = 305,094/x
  3. Step 3: Cross multiply
    141,483x = 305,094 × 305,094
  4. Step 4: Simplify right side
    141,483x = 93,082,348,836
  5. Step 5: Solve for x
    x = 93,082,348,836/141,483
  6. Step 6: Final answer
    x = 657,904.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.