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Finding the Third Proportional to 200,749.50 and 295,578

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Solution

The third proportional to 200,749.50 and 295,578 is: 435,200.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,749.50 : 295,578 = 295,578 : x
  2. Step 2: Convert to fraction form
    200,749.50/295,578 = 295,578/x
  3. Step 3: Cross multiply
    200,749.50x = 295,578 × 295,578
  4. Step 4: Simplify right side
    200,749.50x = 87,366,354,084
  5. Step 5: Solve for x
    x = 87,366,354,084/200,749.50
  6. Step 6: Final answer
    x = 435,200.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.