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Finding the Third Proportional to 144,072 and 334,938

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Solution

The third proportional to 144,072 and 334,938 is: 778,662.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,072 : 334,938 = 334,938 : x
  2. Step 2: Convert to fraction form
    144,072/334,938 = 334,938/x
  3. Step 3: Cross multiply
    144,072x = 334,938 × 334,938
  4. Step 4: Simplify right side
    144,072x = 112,183,463,844
  5. Step 5: Solve for x
    x = 112,183,463,844/144,072
  6. Step 6: Final answer
    x = 778,662.50

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.