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Finding the Third Proportional to 104,516 and 228,664

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Solution

The third proportional to 104,516 and 228,664 is: 500,279.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,516 : 228,664 = 228,664 : x
  2. Step 2: Convert to fraction form
    104,516/228,664 = 228,664/x
  3. Step 3: Cross multiply
    104,516x = 228,664 × 228,664
  4. Step 4: Simplify right side
    104,516x = 52,287,224,896
  5. Step 5: Solve for x
    x = 52,287,224,896/104,516
  6. Step 6: Final answer
    x = 500,279.62

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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.