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Finding the Third Proportional to 216,522 and 311,890.50

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Solution

The third proportional to 216,522 and 311,890.50 is: 449,264.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,522 : 311,890.50 = 311,890.50 : x
  2. Step 2: Convert to fraction form
    216,522/311,890.50 = 311,890.50/x
  3. Step 3: Cross multiply
    216,522x = 311,890.50 × 311,890.50
  4. Step 4: Simplify right side
    216,522x = 97,275,683,990.25
  5. Step 5: Solve for x
    x = 97,275,683,990.25/216,522
  6. Step 6: Final answer
    x = 449,264.67

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.