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Finding the Third Proportional to 217,024 and 333,960

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Solution

The third proportional to 217,024 and 333,960 is: 513,902.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,024 : 333,960 = 333,960 : x
  2. Step 2: Convert to fraction form
    217,024/333,960 = 333,960/x
  3. Step 3: Cross multiply
    217,024x = 333,960 × 333,960
  4. Step 4: Simplify right side
    217,024x = 111,529,281,600
  5. Step 5: Solve for x
    x = 111,529,281,600/217,024
  6. Step 6: Final answer
    x = 513,902.99

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.