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Finding the Third Proportional to 228,985.50 and 496,107

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Solution

The third proportional to 228,985.50 and 496,107 is: 1,074,837.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,985.50 : 496,107 = 496,107 : x
  2. Step 2: Convert to fraction form
    228,985.50/496,107 = 496,107/x
  3. Step 3: Cross multiply
    228,985.50x = 496,107 × 496,107
  4. Step 4: Simplify right side
    228,985.50x = 246,122,155,449
  5. Step 5: Solve for x
    x = 246,122,155,449/228,985.50
  6. Step 6: Final answer
    x = 1,074,837.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.