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Finding the Third Proportional to 228,607.13 and 339,598.50

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Solution

The third proportional to 228,607.13 and 339,598.50 is: 504,477.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,607.13 : 339,598.50 = 339,598.50 : x
  2. Step 2: Convert to fraction form
    228,607.13/339,598.50 = 339,598.50/x
  3. Step 3: Cross multiply
    228,607.13x = 339,598.50 × 339,598.50
  4. Step 4: Simplify right side
    228,607.13x = 115,327,141,202.25
  5. Step 5: Solve for x
    x = 115,327,141,202.25/228,607.13
  6. Step 6: Final answer
    x = 504,477.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.