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Finding the Third Proportional to 200,772 and 295,596

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Solution

The third proportional to 200,772 and 295,596 is: 435,205.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,772 : 295,596 = 295,596 : x
  2. Step 2: Convert to fraction form
    200,772/295,596 = 295,596/x
  3. Step 3: Cross multiply
    200,772x = 295,596 × 295,596
  4. Step 4: Simplify right side
    200,772x = 87,376,995,216
  5. Step 5: Solve for x
    x = 87,376,995,216/200,772
  6. Step 6: Final answer
    x = 435,205.08

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