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Finding the Third Proportional to 145,383 and 311,790

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Solution

The third proportional to 145,383 and 311,790 is: 668,668.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,383 : 311,790 = 311,790 : x
  2. Step 2: Convert to fraction form
    145,383/311,790 = 311,790/x
  3. Step 3: Cross multiply
    145,383x = 311,790 × 311,790
  4. Step 4: Simplify right side
    145,383x = 97,213,004,100
  5. Step 5: Solve for x
    x = 97,213,004,100/145,383
  6. Step 6: Final answer
    x = 668,668.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.