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Finding the Third Proportional to 193,125.50 and 282,775

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Solution

The third proportional to 193,125.50 and 282,775 is: 414,040.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,125.50 : 282,775 = 282,775 : x
  2. Step 2: Convert to fraction form
    193,125.50/282,775 = 282,775/x
  3. Step 3: Cross multiply
    193,125.50x = 282,775 × 282,775
  4. Step 4: Simplify right side
    193,125.50x = 79,961,700,625
  5. Step 5: Solve for x
    x = 79,961,700,625/193,125.50
  6. Step 6: Final answer
    x = 414,040.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.