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Finding the Third Proportional to 105,848 and 228,316

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Solution

The third proportional to 105,848 and 228,316 is: 492,481.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,848 : 228,316 = 228,316 : x
  2. Step 2: Convert to fraction form
    105,848/228,316 = 228,316/x
  3. Step 3: Cross multiply
    105,848x = 228,316 × 228,316
  4. Step 4: Simplify right side
    105,848x = 52,128,195,856
  5. Step 5: Solve for x
    x = 52,128,195,856/105,848
  6. Step 6: Final answer
    x = 492,481.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.