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Finding the Third Proportional to 156,923.25 and 201,486.38

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Solution

The third proportional to 156,923.25 and 201,486.38 is: 258,704.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,923.25 : 201,486.38 = 201,486.38 : x
  2. Step 2: Convert to fraction form
    156,923.25/201,486.38 = 201,486.38/x
  3. Step 3: Cross multiply
    156,923.25x = 201,486.38 × 201,486.38
  4. Step 4: Simplify right side
    156,923.25x = 40,596,759,310.64
  5. Step 5: Solve for x
    x = 40,596,759,310.64/156,923.25
  6. Step 6: Final answer
    x = 258,704.55

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.