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Finding the Third Proportional to 150,587.25 and 200,756.25

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Solution

The third proportional to 150,587.25 and 200,756.25 is: 267,639.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,587.25 : 200,756.25 = 200,756.25 : x
  2. Step 2: Convert to fraction form
    150,587.25/200,756.25 = 200,756.25/x
  3. Step 3: Cross multiply
    150,587.25x = 200,756.25 × 200,756.25
  4. Step 4: Simplify right side
    150,587.25x = 40,303,071,914.06
  5. Step 5: Solve for x
    x = 40,303,071,914.06/150,587.25
  6. Step 6: Final answer
    x = 267,639.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.