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Finding the Third Proportional to 142,914 and 306,564

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Solution

The third proportional to 142,914 and 306,564 is: 657,608.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,914 : 306,564 = 306,564 : x
  2. Step 2: Convert to fraction form
    142,914/306,564 = 306,564/x
  3. Step 3: Cross multiply
    142,914x = 306,564 × 306,564
  4. Step 4: Simplify right side
    142,914x = 93,981,486,096
  5. Step 5: Solve for x
    x = 93,981,486,096/142,914
  6. Step 6: Final answer
    x = 657,608.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.