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Finding the Third Proportional to 193,667.50 and 264,030.50

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Solution

The third proportional to 193,667.50 and 264,030.50 is: 359,957.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,667.50 : 264,030.50 = 264,030.50 : x
  2. Step 2: Convert to fraction form
    193,667.50/264,030.50 = 264,030.50/x
  3. Step 3: Cross multiply
    193,667.50x = 264,030.50 × 264,030.50
  4. Step 4: Simplify right side
    193,667.50x = 69,712,104,930.25
  5. Step 5: Solve for x
    x = 69,712,104,930.25/193,667.50
  6. Step 6: Final answer
    x = 359,957.68

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