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Finding the Third Proportional to 164,419.50 and 353,793

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Solution

The third proportional to 164,419.50 and 353,793 is: 761,281.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,419.50 : 353,793 = 353,793 : x
  2. Step 2: Convert to fraction form
    164,419.50/353,793 = 353,793/x
  3. Step 3: Cross multiply
    164,419.50x = 353,793 × 353,793
  4. Step 4: Simplify right side
    164,419.50x = 125,169,486,849
  5. Step 5: Solve for x
    x = 125,169,486,849/164,419.50
  6. Step 6: Final answer
    x = 761,281.28

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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.