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Finding the Third Proportional to 193,322.50 and 424,469

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Solution

The third proportional to 193,322.50 and 424,469 is: 931,986.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,322.50 : 424,469 = 424,469 : x
  2. Step 2: Convert to fraction form
    193,322.50/424,469 = 424,469/x
  3. Step 3: Cross multiply
    193,322.50x = 424,469 × 424,469
  4. Step 4: Simplify right side
    193,322.50x = 180,173,931,961
  5. Step 5: Solve for x
    x = 180,173,931,961/193,322.50
  6. Step 6: Final answer
    x = 931,986.35

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.