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Finding the Third Proportional to 105,655 and 229,234

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Solution

The third proportional to 105,655 and 229,234 is: 497,356.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,655 : 229,234 = 229,234 : x
  2. Step 2: Convert to fraction form
    105,655/229,234 = 229,234/x
  3. Step 3: Cross multiply
    105,655x = 229,234 × 229,234
  4. Step 4: Simplify right side
    105,655x = 52,548,226,756
  5. Step 5: Solve for x
    x = 52,548,226,756/105,655
  6. Step 6: Final answer
    x = 497,356.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.