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Finding the Third Proportional to 104,592 and 228,624

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Solution

The third proportional to 104,592 and 228,624 is: 499,741.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,592 : 228,624 = 228,624 : x
  2. Step 2: Convert to fraction form
    104,592/228,624 = 228,624/x
  3. Step 3: Cross multiply
    104,592x = 228,624 × 228,624
  4. Step 4: Simplify right side
    104,592x = 52,268,933,376
  5. Step 5: Solve for x
    x = 52,268,933,376/104,592
  6. Step 6: Final answer
    x = 499,741.22

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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.