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Finding the Third Proportional to 134,784 and 206,266.50

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Solution

The third proportional to 134,784 and 206,266.50 is: 315,659.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,784 : 206,266.50 = 206,266.50 : x
  2. Step 2: Convert to fraction form
    134,784/206,266.50 = 206,266.50/x
  3. Step 3: Cross multiply
    134,784x = 206,266.50 × 206,266.50
  4. Step 4: Simplify right side
    134,784x = 42,545,869,022.25
  5. Step 5: Solve for x
    x = 42,545,869,022.25/134,784
  6. Step 6: Final answer
    x = 315,659.64

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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.