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Finding the Third Proportional to 161,898.75 and 226,458.56

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Solution

The third proportional to 161,898.75 and 226,458.56 is: 316,762.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,898.75 : 226,458.56 = 226,458.56 : x
  2. Step 2: Convert to fraction form
    161,898.75/226,458.56 = 226,458.56/x
  3. Step 3: Cross multiply
    161,898.75x = 226,458.56 × 226,458.56
  4. Step 4: Simplify right side
    161,898.75x = 51,283,480,529.57
  5. Step 5: Solve for x
    x = 51,283,480,529.57/161,898.75
  6. Step 6: Final answer
    x = 316,762.67

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.