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Finding the Third Proportional to 106,410 and 228,499.50

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Solution

The third proportional to 106,410 and 228,499.50 is: 490,668.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,410 : 228,499.50 = 228,499.50 : x
  2. Step 2: Convert to fraction form
    106,410/228,499.50 = 228,499.50/x
  3. Step 3: Cross multiply
    106,410x = 228,499.50 × 228,499.50
  4. Step 4: Simplify right side
    106,410x = 52,212,021,500.25
  5. Step 5: Solve for x
    x = 52,212,021,500.25/106,410
  6. Step 6: Final answer
    x = 490,668.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.