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Finding the Third Proportional to 141,590 and 308,938

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Solution

The third proportional to 141,590 and 308,938 is: 674,077.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,590 : 308,938 = 308,938 : x
  2. Step 2: Convert to fraction form
    141,590/308,938 = 308,938/x
  3. Step 3: Cross multiply
    141,590x = 308,938 × 308,938
  4. Step 4: Simplify right side
    141,590x = 95,442,687,844
  5. Step 5: Solve for x
    x = 95,442,687,844/141,590
  6. Step 6: Final answer
    x = 674,077.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.