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Finding the Third Proportional to 104,509.50 and 228,651

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Solution

The third proportional to 104,509.50 and 228,651 is: 500,253.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,509.50 : 228,651 = 228,651 : x
  2. Step 2: Convert to fraction form
    104,509.50/228,651 = 228,651/x
  3. Step 3: Cross multiply
    104,509.50x = 228,651 × 228,651
  4. Step 4: Simplify right side
    104,509.50x = 52,281,279,801
  5. Step 5: Solve for x
    x = 52,281,279,801/104,509.50
  6. Step 6: Final answer
    x = 500,253.85

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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.