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Finding the Third Proportional to 93,504 and 200,292

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Solution

The third proportional to 93,504 and 200,292 is: 429,039.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,504 : 200,292 = 200,292 : x
  2. Step 2: Convert to fraction form
    93,504/200,292 = 200,292/x
  3. Step 3: Cross multiply
    93,504x = 200,292 × 200,292
  4. Step 4: Simplify right side
    93,504x = 40,116,885,264
  5. Step 5: Solve for x
    x = 40,116,885,264/93,504
  6. Step 6: Final answer
    x = 429,039.24

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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.