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Finding the Third Proportional to 216,760.50 and 459,765

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Solution

The third proportional to 216,760.50 and 459,765 is: 975,195.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,760.50 : 459,765 = 459,765 : x
  2. Step 2: Convert to fraction form
    216,760.50/459,765 = 459,765/x
  3. Step 3: Cross multiply
    216,760.50x = 459,765 × 459,765
  4. Step 4: Simplify right side
    216,760.50x = 211,383,855,225
  5. Step 5: Solve for x
    x = 211,383,855,225/216,760.50
  6. Step 6: Final answer
    x = 975,195.46

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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.