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Finding the Third Proportional to 242,230.50 and 346,738.22

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Solution

The third proportional to 242,230.50 and 346,738.22 is: 496,334.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,230.50 : 346,738.22 = 346,738.22 : x
  2. Step 2: Convert to fraction form
    242,230.50/346,738.22 = 346,738.22/x
  3. Step 3: Cross multiply
    242,230.50x = 346,738.22 × 346,738.22
  4. Step 4: Simplify right side
    242,230.50x = 120,227,392,341.92
  5. Step 5: Solve for x
    x = 120,227,392,341.92/242,230.50
  6. Step 6: Final answer
    x = 496,334.66

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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.