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Finding the Third Proportional to 200,076 and 433,368

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Solution

The third proportional to 200,076 and 433,368 is: 938,682.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,076 : 433,368 = 433,368 : x
  2. Step 2: Convert to fraction form
    200,076/433,368 = 433,368/x
  3. Step 3: Cross multiply
    200,076x = 433,368 × 433,368
  4. Step 4: Simplify right side
    200,076x = 187,807,823,424
  5. Step 5: Solve for x
    x = 187,807,823,424/200,076
  6. Step 6: Final answer
    x = 938,682.42

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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.