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Finding the Third Proportional to 170,318 and 369,615

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Solution

The third proportional to 170,318 and 369,615 is: 802,118.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,318 : 369,615 = 369,615 : x
  2. Step 2: Convert to fraction form
    170,318/369,615 = 369,615/x
  3. Step 3: Cross multiply
    170,318x = 369,615 × 369,615
  4. Step 4: Simplify right side
    170,318x = 136,615,248,225
  5. Step 5: Solve for x
    x = 136,615,248,225/170,318
  6. Step 6: Final answer
    x = 802,118.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.