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Finding the Third Proportional to 217,236 and 303,484.50

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Solution

The third proportional to 217,236 and 303,484.50 is: 423,975.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,236 : 303,484.50 = 303,484.50 : x
  2. Step 2: Convert to fraction form
    217,236/303,484.50 = 303,484.50/x
  3. Step 3: Cross multiply
    217,236x = 303,484.50 × 303,484.50
  4. Step 4: Simplify right side
    217,236x = 92,102,841,740.25
  5. Step 5: Solve for x
    x = 92,102,841,740.25/217,236
  6. Step 6: Final answer
    x = 423,975.96

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.