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Finding the Third Proportional to 228,829.50 and 346,200.75

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Solution

The third proportional to 228,829.50 and 346,200.75 is: 523,774.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,829.50 : 346,200.75 = 346,200.75 : x
  2. Step 2: Convert to fraction form
    228,829.50/346,200.75 = 346,200.75/x
  3. Step 3: Cross multiply
    228,829.50x = 346,200.75 × 346,200.75
  4. Step 4: Simplify right side
    228,829.50x = 119,854,959,300.56
  5. Step 5: Solve for x
    x = 119,854,959,300.56/228,829.50
  6. Step 6: Final answer
    x = 523,774.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.