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Finding the Third Proportional to 193,114.13 and 295,417.13

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Solution

The third proportional to 193,114.13 and 295,417.13 is: 451,915.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,114.13 : 295,417.13 = 295,417.13 : x
  2. Step 2: Convert to fraction form
    193,114.13/295,417.13 = 295,417.13/x
  3. Step 3: Cross multiply
    193,114.13x = 295,417.13 × 295,417.13
  4. Step 4: Simplify right side
    193,114.13x = 87,271,277,743.27
  5. Step 5: Solve for x
    x = 87,271,277,743.27/193,114.13
  6. Step 6: Final answer
    x = 451,915.56

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.