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Finding the Third Proportional to 175,057.50 and 373,443

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Solution

The third proportional to 175,057.50 and 373,443 is: 796,650.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,057.50 : 373,443 = 373,443 : x
  2. Step 2: Convert to fraction form
    175,057.50/373,443 = 373,443/x
  3. Step 3: Cross multiply
    175,057.50x = 373,443 × 373,443
  4. Step 4: Simplify right side
    175,057.50x = 139,459,674,249
  5. Step 5: Solve for x
    x = 139,459,674,249/175,057.50
  6. Step 6: Final answer
    x = 796,650.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.