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Finding the Third Proportional to 223,116.50 and 339,903.75

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Solution

The third proportional to 223,116.50 and 339,903.75 is: 517,821.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,116.50 : 339,903.75 = 339,903.75 : x
  2. Step 2: Convert to fraction form
    223,116.50/339,903.75 = 339,903.75/x
  3. Step 3: Cross multiply
    223,116.50x = 339,903.75 × 339,903.75
  4. Step 4: Simplify right side
    223,116.50x = 115,534,559,264.06
  5. Step 5: Solve for x
    x = 115,534,559,264.06/223,116.50
  6. Step 6: Final answer
    x = 517,821.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.