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Finding the Third Proportional to 70,230 and 150,301.50

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Solution

The third proportional to 70,230 and 150,301.50 is: 321,665.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,230 : 150,301.50 = 150,301.50 : x
  2. Step 2: Convert to fraction form
    70,230/150,301.50 = 150,301.50/x
  3. Step 3: Cross multiply
    70,230x = 150,301.50 × 150,301.50
  4. Step 4: Simplify right side
    70,230x = 22,590,540,902.25
  5. Step 5: Solve for x
    x = 22,590,540,902.25/70,230
  6. Step 6: Final answer
    x = 321,665.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.