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Finding the Third Proportional to 226,970 and 341,434

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Solution

The third proportional to 226,970 and 341,434 is: 513,623.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,970 : 341,434 = 341,434 : x
  2. Step 2: Convert to fraction form
    226,970/341,434 = 341,434/x
  3. Step 3: Cross multiply
    226,970x = 341,434 × 341,434
  4. Step 4: Simplify right side
    226,970x = 116,577,176,356
  5. Step 5: Solve for x
    x = 116,577,176,356/226,970
  6. Step 6: Final answer
    x = 513,623.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.