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Finding the Third Proportional to 164,209.50 and 355,407

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Solution

The third proportional to 164,209.50 and 355,407 is: 769,225.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,209.50 : 355,407 = 355,407 : x
  2. Step 2: Convert to fraction form
    164,209.50/355,407 = 355,407/x
  3. Step 3: Cross multiply
    164,209.50x = 355,407 × 355,407
  4. Step 4: Simplify right side
    164,209.50x = 126,314,135,649
  5. Step 5: Solve for x
    x = 126,314,135,649/164,209.50
  6. Step 6: Final answer
    x = 769,225.51

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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.