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Finding the Third Proportional to 106,200 and 232,800

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Solution

The third proportional to 106,200 and 232,800 is: 510,318.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,200 : 232,800 = 232,800 : x
  2. Step 2: Convert to fraction form
    106,200/232,800 = 232,800/x
  3. Step 3: Cross multiply
    106,200x = 232,800 × 232,800
  4. Step 4: Simplify right side
    106,200x = 54,195,840,000
  5. Step 5: Solve for x
    x = 54,195,840,000/106,200
  6. Step 6: Final answer
    x = 510,318.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.