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Finding the Third Proportional to 186,029.16 and 407,529

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Solution

The third proportional to 186,029.16 and 407,529 is: 892,762.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,029.16 : 407,529 = 407,529 : x
  2. Step 2: Convert to fraction form
    186,029.16/407,529 = 407,529/x
  3. Step 3: Cross multiply
    186,029.16x = 407,529 × 407,529
  4. Step 4: Simplify right side
    186,029.16x = 166,079,885,841
  5. Step 5: Solve for x
    x = 166,079,885,841/186,029.16
  6. Step 6: Final answer
    x = 892,762.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.