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Finding the Third Proportional to 92,283 and 200,573

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Solution

The third proportional to 92,283 and 200,573 is: 435,936.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,283 : 200,573 = 200,573 : x
  2. Step 2: Convert to fraction form
    92,283/200,573 = 200,573/x
  3. Step 3: Cross multiply
    92,283x = 200,573 × 200,573
  4. Step 4: Simplify right side
    92,283x = 40,229,528,329
  5. Step 5: Solve for x
    x = 40,229,528,329/92,283
  6. Step 6: Final answer
    x = 435,936.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.