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Finding the Third Proportional to 114,392.25 and 174,990.38

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Solution

The third proportional to 114,392.25 and 174,990.38 is: 267,689.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,392.25 : 174,990.38 = 174,990.38 : x
  2. Step 2: Convert to fraction form
    114,392.25/174,990.38 = 174,990.38/x
  3. Step 3: Cross multiply
    114,392.25x = 174,990.38 × 174,990.38
  4. Step 4: Simplify right side
    114,392.25x = 30,621,631,342.64
  5. Step 5: Solve for x
    x = 30,621,631,342.64/114,392.25
  6. Step 6: Final answer
    x = 267,689.74

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Why These Related Problems?

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