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Finding the Third Proportional to 164,209.50 and 353,743.50

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Solution

The third proportional to 164,209.50 and 353,743.50 is: 762,041.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,209.50 : 353,743.50 = 353,743.50 : x
  2. Step 2: Convert to fraction form
    164,209.50/353,743.50 = 353,743.50/x
  3. Step 3: Cross multiply
    164,209.50x = 353,743.50 × 353,743.50
  4. Step 4: Simplify right side
    164,209.50x = 125,134,463,792.25
  5. Step 5: Solve for x
    x = 125,134,463,792.25/164,209.50
  6. Step 6: Final answer
    x = 762,041.56

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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.