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Finding the Third Proportional to 134,429 and 206,343.50

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Solution

The third proportional to 134,429 and 206,343.50 is: 316,729.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,429 : 206,343.50 = 206,343.50 : x
  2. Step 2: Convert to fraction form
    134,429/206,343.50 = 206,343.50/x
  3. Step 3: Cross multiply
    134,429x = 206,343.50 × 206,343.50
  4. Step 4: Simplify right side
    134,429x = 42,577,639,992.25
  5. Step 5: Solve for x
    x = 42,577,639,992.25/134,429
  6. Step 6: Final answer
    x = 316,729.57

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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.