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Finding the Third Proportional to 144,938 and 309,780

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Solution

The third proportional to 144,938 and 309,780 is: 662,101.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,938 : 309,780 = 309,780 : x
  2. Step 2: Convert to fraction form
    144,938/309,780 = 309,780/x
  3. Step 3: Cross multiply
    144,938x = 309,780 × 309,780
  4. Step 4: Simplify right side
    144,938x = 95,963,648,400
  5. Step 5: Solve for x
    x = 95,963,648,400/144,938
  6. Step 6: Final answer
    x = 662,101.37

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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.