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Finding the Third Proportional to 200,230 and 355,944

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Solution

The third proportional to 200,230 and 355,944 is: 632,752.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,230 : 355,944 = 355,944 : x
  2. Step 2: Convert to fraction form
    200,230/355,944 = 355,944/x
  3. Step 3: Cross multiply
    200,230x = 355,944 × 355,944
  4. Step 4: Simplify right side
    200,230x = 126,696,131,136
  5. Step 5: Solve for x
    x = 126,696,131,136/200,230
  6. Step 6: Final answer
    x = 632,752.99

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.