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Finding the Third Proportional to 162,519.54 and 252,632.67

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Solution

The third proportional to 162,519.54 and 252,632.67 is: 392,711.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,519.54 : 252,632.67 = 252,632.67 : x
  2. Step 2: Convert to fraction form
    162,519.54/252,632.67 = 252,632.67/x
  3. Step 3: Cross multiply
    162,519.54x = 252,632.67 × 252,632.67
  4. Step 4: Simplify right side
    162,519.54x = 63,823,266,898.70
  5. Step 5: Solve for x
    x = 63,823,266,898.70/162,519.54
  6. Step 6: Final answer
    x = 392,711.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.