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Finding the Third Proportional to 200,756 and 295,594

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Solution

The third proportional to 200,756 and 295,594 is: 435,233.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,756 : 295,594 = 295,594 : x
  2. Step 2: Convert to fraction form
    200,756/295,594 = 295,594/x
  3. Step 3: Cross multiply
    200,756x = 295,594 × 295,594
  4. Step 4: Simplify right side
    200,756x = 87,375,812,836
  5. Step 5: Solve for x
    x = 87,375,812,836/200,756
  6. Step 6: Final answer
    x = 435,233.88

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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.