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Finding the Third Proportional to 242,193 and 373,509

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Solution

The third proportional to 242,193 and 373,509 is: 576,023.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,193 : 373,509 = 373,509 : x
  2. Step 2: Convert to fraction form
    242,193/373,509 = 373,509/x
  3. Step 3: Cross multiply
    242,193x = 373,509 × 373,509
  4. Step 4: Simplify right side
    242,193x = 139,508,973,081
  5. Step 5: Solve for x
    x = 139,508,973,081/242,193
  6. Step 6: Final answer
    x = 576,023.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.