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Finding the Third Proportional to 134,766 and 210,777

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Solution

The third proportional to 134,766 and 210,777 is: 329,659.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,766 : 210,777 = 210,777 : x
  2. Step 2: Convert to fraction form
    134,766/210,777 = 210,777/x
  3. Step 3: Cross multiply
    134,766x = 210,777 × 210,777
  4. Step 4: Simplify right side
    134,766x = 44,426,943,729
  5. Step 5: Solve for x
    x = 44,426,943,729/134,766
  6. Step 6: Final answer
    x = 329,659.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.