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Finding the Third Proportional to 145,596 and 206,244

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Solution

The third proportional to 145,596 and 206,244 is: 292,154.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,596 : 206,244 = 206,244 : x
  2. Step 2: Convert to fraction form
    145,596/206,244 = 206,244/x
  3. Step 3: Cross multiply
    145,596x = 206,244 × 206,244
  4. Step 4: Simplify right side
    145,596x = 42,536,587,536
  5. Step 5: Solve for x
    x = 42,536,587,536/145,596
  6. Step 6: Final answer
    x = 292,154.92

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.