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Finding the Third Proportional to 200,712.75 and 295,524.75

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Solution

The third proportional to 200,712.75 and 295,524.75 is: 435,123.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,712.75 : 295,524.75 = 295,524.75 : x
  2. Step 2: Convert to fraction form
    200,712.75/295,524.75 = 295,524.75/x
  3. Step 3: Cross multiply
    200,712.75x = 295,524.75 × 295,524.75
  4. Step 4: Simplify right side
    200,712.75x = 87,334,877,862.56
  5. Step 5: Solve for x
    x = 87,334,877,862.56/200,712.75
  6. Step 6: Final answer
    x = 435,123.72

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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.