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Finding the Third Proportional to 264,076 and 395,101

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Solution

The third proportional to 264,076 and 395,101 is: 591,135.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,076 : 395,101 = 395,101 : x
  2. Step 2: Convert to fraction form
    264,076/395,101 = 395,101/x
  3. Step 3: Cross multiply
    264,076x = 395,101 × 395,101
  4. Step 4: Simplify right side
    264,076x = 156,104,800,201
  5. Step 5: Solve for x
    x = 156,104,800,201/264,076
  6. Step 6: Final answer
    x = 591,135.89

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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.