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Finding the Third Proportional to 70,497 and 146,803.50

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Solution

The third proportional to 70,497 and 146,803.50 is: 305,704.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,497 : 146,803.50 = 146,803.50 : x
  2. Step 2: Convert to fraction form
    70,497/146,803.50 = 146,803.50/x
  3. Step 3: Cross multiply
    70,497x = 146,803.50 × 146,803.50
  4. Step 4: Simplify right side
    70,497x = 21,551,267,612.25
  5. Step 5: Solve for x
    x = 21,551,267,612.25/70,497
  6. Step 6: Final answer
    x = 305,704.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.