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Finding the Third Proportional to 104,506 and 228,644

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Solution

The third proportional to 104,506 and 228,644 is: 500,239.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,506 : 228,644 = 228,644 : x
  2. Step 2: Convert to fraction form
    104,506/228,644 = 228,644/x
  3. Step 3: Cross multiply
    104,506x = 228,644 × 228,644
  4. Step 4: Simplify right side
    104,506x = 52,278,078,736
  5. Step 5: Solve for x
    x = 52,278,078,736/104,506
  6. Step 6: Final answer
    x = 500,239.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.