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Finding the Third Proportional to 85,028 and 186,217

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Solution

The third proportional to 85,028 and 186,217 is: 407,827.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,028 : 186,217 = 186,217 : x
  2. Step 2: Convert to fraction form
    85,028/186,217 = 186,217/x
  3. Step 3: Cross multiply
    85,028x = 186,217 × 186,217
  4. Step 4: Simplify right side
    85,028x = 34,676,771,089
  5. Step 5: Solve for x
    x = 34,676,771,089/85,028
  6. Step 6: Final answer
    x = 407,827.67

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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.