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Finding the Third Proportional to 201,052 and 306,295

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Solution

The third proportional to 201,052 and 306,295 is: 466,628.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,052 : 306,295 = 306,295 : x
  2. Step 2: Convert to fraction form
    201,052/306,295 = 306,295/x
  3. Step 3: Cross multiply
    201,052x = 306,295 × 306,295
  4. Step 4: Simplify right side
    201,052x = 93,816,627,025
  5. Step 5: Solve for x
    x = 93,816,627,025/201,052
  6. Step 6: Final answer
    x = 466,628.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.