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Finding the Third Proportional to 186,738 and 251,595

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Solution

The third proportional to 186,738 and 251,595 is: 338,977.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,738 : 251,595 = 251,595 : x
  2. Step 2: Convert to fraction form
    186,738/251,595 = 251,595/x
  3. Step 3: Cross multiply
    186,738x = 251,595 × 251,595
  4. Step 4: Simplify right side
    186,738x = 63,300,044,025
  5. Step 5: Solve for x
    x = 63,300,044,025/186,738
  6. Step 6: Final answer
    x = 338,977.84

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.