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Finding the Third Proportional to 141,399 and 304,938

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Solution

The third proportional to 141,399 and 304,938 is: 657,622.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,399 : 304,938 = 304,938 : x
  2. Step 2: Convert to fraction form
    141,399/304,938 = 304,938/x
  3. Step 3: Cross multiply
    141,399x = 304,938 × 304,938
  4. Step 4: Simplify right side
    141,399x = 92,987,183,844
  5. Step 5: Solve for x
    x = 92,987,183,844/141,399
  6. Step 6: Final answer
    x = 657,622.64

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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.