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Finding the Third Proportional to 253,315.50 and 395,310

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Solution

The third proportional to 253,315.50 and 395,310 is: 616,898.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,315.50 : 395,310 = 395,310 : x
  2. Step 2: Convert to fraction form
    253,315.50/395,310 = 395,310/x
  3. Step 3: Cross multiply
    253,315.50x = 395,310 × 395,310
  4. Step 4: Simplify right side
    253,315.50x = 156,269,996,100
  5. Step 5: Solve for x
    x = 156,269,996,100/253,315.50
  6. Step 6: Final answer
    x = 616,898.67

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.