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Finding the Third Proportional to 70,190 and 152,203

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Solution

The third proportional to 70,190 and 152,203 is: 330,043.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,190 : 152,203 = 152,203 : x
  2. Step 2: Convert to fraction form
    70,190/152,203 = 152,203/x
  3. Step 3: Cross multiply
    70,190x = 152,203 × 152,203
  4. Step 4: Simplify right side
    70,190x = 23,165,753,209
  5. Step 5: Solve for x
    x = 23,165,753,209/70,190
  6. Step 6: Final answer
    x = 330,043.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.