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Finding the Third Proportional to 205,614 and 306,714

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Solution

The third proportional to 205,614 and 306,714 is: 457,524.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,614 : 306,714 = 306,714 : x
  2. Step 2: Convert to fraction form
    205,614/306,714 = 306,714/x
  3. Step 3: Cross multiply
    205,614x = 306,714 × 306,714
  4. Step 4: Simplify right side
    205,614x = 94,073,477,796
  5. Step 5: Solve for x
    x = 94,073,477,796/205,614
  6. Step 6: Final answer
    x = 457,524.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.