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Finding the Third Proportional to 206,080 and 434,304

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Solution

The third proportional to 206,080 and 434,304 is: 915,275.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,080 : 434,304 = 434,304 : x
  2. Step 2: Convert to fraction form
    206,080/434,304 = 434,304/x
  3. Step 3: Cross multiply
    206,080x = 434,304 × 434,304
  4. Step 4: Simplify right side
    206,080x = 188,619,964,416
  5. Step 5: Solve for x
    x = 188,619,964,416/206,080
  6. Step 6: Final answer
    x = 915,275.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.