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Finding the Third Proportional to 133,528 and 206,179

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Solution

The third proportional to 133,528 and 206,179 is: 318,358.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,528 : 206,179 = 206,179 : x
  2. Step 2: Convert to fraction form
    133,528/206,179 = 206,179/x
  3. Step 3: Cross multiply
    133,528x = 206,179 × 206,179
  4. Step 4: Simplify right side
    133,528x = 42,509,780,041
  5. Step 5: Solve for x
    x = 42,509,780,041/133,528
  6. Step 6: Final answer
    x = 318,358.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.