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Finding the Third Proportional to 227,407.50 and 355,671

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Solution

The third proportional to 227,407.50 and 355,671 is: 556,278.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,407.50 : 355,671 = 355,671 : x
  2. Step 2: Convert to fraction form
    227,407.50/355,671 = 355,671/x
  3. Step 3: Cross multiply
    227,407.50x = 355,671 × 355,671
  4. Step 4: Simplify right side
    227,407.50x = 126,501,860,241
  5. Step 5: Solve for x
    x = 126,501,860,241/227,407.50
  6. Step 6: Final answer
    x = 556,278.31

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.