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Finding the Third Proportional to 212,838.75 and 318,674.25

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Solution

The third proportional to 212,838.75 and 318,674.25 is: 477,137.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,838.75 : 318,674.25 = 318,674.25 : x
  2. Step 2: Convert to fraction form
    212,838.75/318,674.25 = 318,674.25/x
  3. Step 3: Cross multiply
    212,838.75x = 318,674.25 × 318,674.25
  4. Step 4: Simplify right side
    212,838.75x = 101,553,277,613.06
  5. Step 5: Solve for x
    x = 101,553,277,613.06/212,838.75
  6. Step 6: Final answer
    x = 477,137.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.