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Finding the Third Proportional to 164,193.63 and 353,716.50

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Solution

The third proportional to 164,193.63 and 353,716.50 is: 761,998.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,193.63 : 353,716.50 = 353,716.50 : x
  2. Step 2: Convert to fraction form
    164,193.63/353,716.50 = 353,716.50/x
  3. Step 3: Cross multiply
    164,193.63x = 353,716.50 × 353,716.50
  4. Step 4: Simplify right side
    164,193.63x = 125,115,362,372.25
  5. Step 5: Solve for x
    x = 125,115,362,372.25/164,193.63
  6. Step 6: Final answer
    x = 761,998.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.