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Finding the Third Proportional to 233,309.50 and 482,171

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Solution

The third proportional to 233,309.50 and 482,171 is: 996,482.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,309.50 : 482,171 = 482,171 : x
  2. Step 2: Convert to fraction form
    233,309.50/482,171 = 482,171/x
  3. Step 3: Cross multiply
    233,309.50x = 482,171 × 482,171
  4. Step 4: Simplify right side
    233,309.50x = 232,488,873,241
  5. Step 5: Solve for x
    x = 232,488,873,241/233,309.50
  6. Step 6: Final answer
    x = 996,482.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.