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Finding the Third Proportional to 245,796 and 370,950

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Solution

The third proportional to 245,796 and 370,950 is: 559,829.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,796 : 370,950 = 370,950 : x
  2. Step 2: Convert to fraction form
    245,796/370,950 = 370,950/x
  3. Step 3: Cross multiply
    245,796x = 370,950 × 370,950
  4. Step 4: Simplify right side
    245,796x = 137,603,902,500
  5. Step 5: Solve for x
    x = 137,603,902,500/245,796
  6. Step 6: Final answer
    x = 559,829.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.