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Finding the Third Proportional to 235,784 and 365,100

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Solution

The third proportional to 235,784 and 365,100 is: 565,339.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,784 : 365,100 = 365,100 : x
  2. Step 2: Convert to fraction form
    235,784/365,100 = 365,100/x
  3. Step 3: Cross multiply
    235,784x = 365,100 × 365,100
  4. Step 4: Simplify right side
    235,784x = 133,298,010,000
  5. Step 5: Solve for x
    x = 133,298,010,000/235,784
  6. Step 6: Final answer
    x = 565,339.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.