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Finding the Third Proportional to 166,481.16 and 359,564.06

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Solution

The third proportional to 166,481.16 and 359,564.06 is: 776,582.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,481.16 : 359,564.06 = 359,564.06 : x
  2. Step 2: Convert to fraction form
    166,481.16/359,564.06 = 359,564.06/x
  3. Step 3: Cross multiply
    166,481.16x = 359,564.06 × 359,564.06
  4. Step 4: Simplify right side
    166,481.16x = 129,286,315,041.50
  5. Step 5: Solve for x
    x = 129,286,315,041.50/166,481.16
  6. Step 6: Final answer
    x = 776,582.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.