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Finding the Third Proportional to 164,197 and 354,588

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Solution

The third proportional to 164,197 and 354,588 is: 765,742.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,197 : 354,588 = 354,588 : x
  2. Step 2: Convert to fraction form
    164,197/354,588 = 354,588/x
  3. Step 3: Cross multiply
    164,197x = 354,588 × 354,588
  4. Step 4: Simplify right side
    164,197x = 125,732,649,744
  5. Step 5: Solve for x
    x = 125,732,649,744/164,197
  6. Step 6: Final answer
    x = 765,742.67

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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.