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Finding the Third Proportional to 227,384 and 341,076

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Solution

The third proportional to 227,384 and 341,076 is: 511,614

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,384 : 341,076 = 341,076 : x
  2. Step 2: Convert to fraction form
    227,384/341,076 = 341,076/x
  3. Step 3: Cross multiply
    227,384x = 341,076 × 341,076
  4. Step 4: Simplify right side
    227,384x = 116,332,837,776
  5. Step 5: Solve for x
    x = 116,332,837,776/227,384
  6. Step 6: Final answer
    x = 511,614

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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.