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Finding the Third Proportional to 148,278 and 308,844

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Solution

The third proportional to 148,278 and 308,844 is: 643,282.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,278 : 308,844 = 308,844 : x
  2. Step 2: Convert to fraction form
    148,278/308,844 = 308,844/x
  3. Step 3: Cross multiply
    148,278x = 308,844 × 308,844
  4. Step 4: Simplify right side
    148,278x = 95,384,616,336
  5. Step 5: Solve for x
    x = 95,384,616,336/148,278
  6. Step 6: Final answer
    x = 643,282.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.