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Finding the Third Proportional to 200,735.72 and 295,557.61

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Solution

The third proportional to 200,735.72 and 295,557.61 is: 435,170.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,735.72 : 295,557.61 = 295,557.61 : x
  2. Step 2: Convert to fraction form
    200,735.72/295,557.61 = 295,557.61/x
  3. Step 3: Cross multiply
    200,735.72x = 295,557.61 × 295,557.61
  4. Step 4: Simplify right side
    200,735.72x = 87,354,300,459.47
  5. Step 5: Solve for x
    x = 87,354,300,459.47/200,735.72
  6. Step 6: Final answer
    x = 435,170.69

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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.