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Finding the Third Proportional to 148,517 and 304,906

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Solution

The third proportional to 148,517 and 304,906 is: 625,973.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,517 : 304,906 = 304,906 : x
  2. Step 2: Convert to fraction form
    148,517/304,906 = 304,906/x
  3. Step 3: Cross multiply
    148,517x = 304,906 × 304,906
  4. Step 4: Simplify right side
    148,517x = 92,967,668,836
  5. Step 5: Solve for x
    x = 92,967,668,836/148,517
  6. Step 6: Final answer
    x = 625,973.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.