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Finding the Third Proportional to 245,068 and 374,811

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Solution

The third proportional to 245,068 and 374,811 is: 573,242.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,068 : 374,811 = 374,811 : x
  2. Step 2: Convert to fraction form
    245,068/374,811 = 374,811/x
  3. Step 3: Cross multiply
    245,068x = 374,811 × 374,811
  4. Step 4: Simplify right side
    245,068x = 140,483,285,721
  5. Step 5: Solve for x
    x = 140,483,285,721/245,068
  6. Step 6: Final answer
    x = 573,242.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.