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Finding the Third Proportional to 200,543 and 428,154

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Solution

The third proportional to 200,543 and 428,154 is: 914,097.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,543 : 428,154 = 428,154 : x
  2. Step 2: Convert to fraction form
    200,543/428,154 = 428,154/x
  3. Step 3: Cross multiply
    200,543x = 428,154 × 428,154
  4. Step 4: Simplify right side
    200,543x = 183,315,847,716
  5. Step 5: Solve for x
    x = 183,315,847,716/200,543
  6. Step 6: Final answer
    x = 914,097.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.