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Finding the Third Proportional to 160,992 and 254,865.38

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Solution

The third proportional to 160,992 and 254,865.38 is: 403,475.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,992 : 254,865.38 = 254,865.38 : x
  2. Step 2: Convert to fraction form
    160,992/254,865.38 = 254,865.38/x
  3. Step 3: Cross multiply
    160,992x = 254,865.38 × 254,865.38
  4. Step 4: Simplify right side
    160,992x = 64,956,359,373.89
  5. Step 5: Solve for x
    x = 64,956,359,373.89/160,992
  6. Step 6: Final answer
    x = 403,475.70

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.