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Finding the Third Proportional to 132,388 and 185,190

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Solution

The third proportional to 132,388 and 185,190 is: 259,051.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,388 : 185,190 = 185,190 : x
  2. Step 2: Convert to fraction form
    132,388/185,190 = 185,190/x
  3. Step 3: Cross multiply
    132,388x = 185,190 × 185,190
  4. Step 4: Simplify right side
    132,388x = 34,295,336,100
  5. Step 5: Solve for x
    x = 34,295,336,100/132,388
  6. Step 6: Final answer
    x = 259,051.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.