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Finding the Third Proportional to 203,913 and 310,189.50

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Solution

The third proportional to 203,913 and 310,189.50 is: 471,855.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,913 : 310,189.50 = 310,189.50 : x
  2. Step 2: Convert to fraction form
    203,913/310,189.50 = 310,189.50/x
  3. Step 3: Cross multiply
    203,913x = 310,189.50 × 310,189.50
  4. Step 4: Simplify right side
    203,913x = 96,217,525,910.25
  5. Step 5: Solve for x
    x = 96,217,525,910.25/203,913
  6. Step 6: Final answer
    x = 471,855.77

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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.