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Finding the Third Proportional to 119,581.50 and 253,743

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Solution

The third proportional to 119,581.50 and 253,743 is: 538,423.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,581.50 : 253,743 = 253,743 : x
  2. Step 2: Convert to fraction form
    119,581.50/253,743 = 253,743/x
  3. Step 3: Cross multiply
    119,581.50x = 253,743 × 253,743
  4. Step 4: Simplify right side
    119,581.50x = 64,385,510,049
  5. Step 5: Solve for x
    x = 64,385,510,049/119,581.50
  6. Step 6: Final answer
    x = 538,423.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.