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Finding the Third Proportional to 262,160 and 395,388

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Solution

The third proportional to 262,160 and 395,388 is: 596,321.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,160 : 395,388 = 395,388 : x
  2. Step 2: Convert to fraction form
    262,160/395,388 = 395,388/x
  3. Step 3: Cross multiply
    262,160x = 395,388 × 395,388
  4. Step 4: Simplify right side
    262,160x = 156,331,670,544
  5. Step 5: Solve for x
    x = 156,331,670,544/262,160
  6. Step 6: Final answer
    x = 596,321.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.