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Finding the Third Proportional to 217,380 and 324,064.50

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Solution

The third proportional to 217,380 and 324,064.50 is: 483,107.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,380 : 324,064.50 = 324,064.50 : x
  2. Step 2: Convert to fraction form
    217,380/324,064.50 = 324,064.50/x
  3. Step 3: Cross multiply
    217,380x = 324,064.50 × 324,064.50
  4. Step 4: Simplify right side
    217,380x = 105,017,800,160.25
  5. Step 5: Solve for x
    x = 105,017,800,160.25/217,380
  6. Step 6: Final answer
    x = 483,107.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.