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Finding the Third Proportional to 200,746 and 433,172

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Solution

The third proportional to 200,746 and 433,172 is: 934,703.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,746 : 433,172 = 433,172 : x
  2. Step 2: Convert to fraction form
    200,746/433,172 = 433,172/x
  3. Step 3: Cross multiply
    200,746x = 433,172 × 433,172
  4. Step 4: Simplify right side
    200,746x = 187,637,981,584
  5. Step 5: Solve for x
    x = 187,637,981,584/200,746
  6. Step 6: Final answer
    x = 934,703.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.