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Finding the Third Proportional to 148,770 and 309,573

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Solution

The third proportional to 148,770 and 309,573 is: 644,185.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,770 : 309,573 = 309,573 : x
  2. Step 2: Convert to fraction form
    148,770/309,573 = 309,573/x
  3. Step 3: Cross multiply
    148,770x = 309,573 × 309,573
  4. Step 4: Simplify right side
    148,770x = 95,835,442,329
  5. Step 5: Solve for x
    x = 95,835,442,329/148,770
  6. Step 6: Final answer
    x = 644,185.27

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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.