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Finding the Third Proportional to 164,200 and 354,050

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Solution

The third proportional to 164,200 and 354,050 is: 763,406.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,200 : 354,050 = 354,050 : x
  2. Step 2: Convert to fraction form
    164,200/354,050 = 354,050/x
  3. Step 3: Cross multiply
    164,200x = 354,050 × 354,050
  4. Step 4: Simplify right side
    164,200x = 125,351,402,500
  5. Step 5: Solve for x
    x = 125,351,402,500/164,200
  6. Step 6: Final answer
    x = 763,406.84

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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.