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Finding the Third Proportional to 136,186.50 and 210,023.25

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Solution

The third proportional to 136,186.50 and 210,023.25 is: 323,892.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,186.50 : 210,023.25 = 210,023.25 : x
  2. Step 2: Convert to fraction form
    136,186.50/210,023.25 = 210,023.25/x
  3. Step 3: Cross multiply
    136,186.50x = 210,023.25 × 210,023.25
  4. Step 4: Simplify right side
    136,186.50x = 44,109,765,540.56
  5. Step 5: Solve for x
    x = 44,109,765,540.56/136,186.50
  6. Step 6: Final answer
    x = 323,892.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.