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Finding the Third Proportional to 210,475.13 and 374,196.38

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Solution

The third proportional to 210,475.13 and 374,196.38 is: 665,270.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,475.13 : 374,196.38 = 374,196.38 : x
  2. Step 2: Convert to fraction form
    210,475.13/374,196.38 = 374,196.38/x
  3. Step 3: Cross multiply
    210,475.13x = 374,196.38 × 374,196.38
  4. Step 4: Simplify right side
    210,475.13x = 140,022,927,063.14
  5. Step 5: Solve for x
    x = 140,022,927,063.14/210,475.13
  6. Step 6: Final answer
    x = 665,270.67

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.