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Finding the Third Proportional to 93,533 and 200,350

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Solution

The third proportional to 93,533 and 200,350 is: 429,154.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,533 : 200,350 = 200,350 : x
  2. Step 2: Convert to fraction form
    93,533/200,350 = 200,350/x
  3. Step 3: Cross multiply
    93,533x = 200,350 × 200,350
  4. Step 4: Simplify right side
    93,533x = 40,140,122,500
  5. Step 5: Solve for x
    x = 40,140,122,500/93,533
  6. Step 6: Final answer
    x = 429,154.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.