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Finding the Third Proportional to 193,655.50 and 264,012.50

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Solution

The third proportional to 193,655.50 and 264,012.50 is: 359,930.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,655.50 : 264,012.50 = 264,012.50 : x
  2. Step 2: Convert to fraction form
    193,655.50/264,012.50 = 264,012.50/x
  3. Step 3: Cross multiply
    193,655.50x = 264,012.50 × 264,012.50
  4. Step 4: Simplify right side
    193,655.50x = 69,702,600,156.25
  5. Step 5: Solve for x
    x = 69,702,600,156.25/193,655.50
  6. Step 6: Final answer
    x = 359,930.91

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.