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Finding the Third Proportional to 134,429 and 206,343.25

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Solution

The third proportional to 134,429 and 206,343.25 is: 316,728.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,429 : 206,343.25 = 206,343.25 : x
  2. Step 2: Convert to fraction form
    134,429/206,343.25 = 206,343.25/x
  3. Step 3: Cross multiply
    134,429x = 206,343.25 × 206,343.25
  4. Step 4: Simplify right side
    134,429x = 42,577,536,820.56
  5. Step 5: Solve for x
    x = 42,577,536,820.56/134,429
  6. Step 6: Final answer
    x = 316,728.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.