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Finding the Third Proportional to 242,238 and 346,749

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Solution

The third proportional to 242,238 and 346,749 is: 496,350.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,238 : 346,749 = 346,749 : x
  2. Step 2: Convert to fraction form
    242,238/346,749 = 346,749/x
  3. Step 3: Cross multiply
    242,238x = 346,749 × 346,749
  4. Step 4: Simplify right side
    242,238x = 120,234,869,001
  5. Step 5: Solve for x
    x = 120,234,869,001/242,238
  6. Step 6: Final answer
    x = 496,350.16

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.