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Finding the Third Proportional to 113,004 and 223,213.50

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Solution

The third proportional to 113,004 and 223,213.50 is: 440,907.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,004 : 223,213.50 = 223,213.50 : x
  2. Step 2: Convert to fraction form
    113,004/223,213.50 = 223,213.50/x
  3. Step 3: Cross multiply
    113,004x = 223,213.50 × 223,213.50
  4. Step 4: Simplify right side
    113,004x = 49,824,266,582.25
  5. Step 5: Solve for x
    x = 49,824,266,582.25/113,004
  6. Step 6: Final answer
    x = 440,907.11

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.