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Finding the Third Proportional to 226,394 and 306,376

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Solution

The third proportional to 226,394 and 306,376 is: 414,614.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,394 : 306,376 = 306,376 : x
  2. Step 2: Convert to fraction form
    226,394/306,376 = 306,376/x
  3. Step 3: Cross multiply
    226,394x = 306,376 × 306,376
  4. Step 4: Simplify right side
    226,394x = 93,866,253,376
  5. Step 5: Solve for x
    x = 93,866,253,376/226,394
  6. Step 6: Final answer
    x = 414,614.58

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.