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Finding the Third Proportional to 200,744 and 433,168

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Solution

The third proportional to 200,744 and 433,168 is: 934,695.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,744 : 433,168 = 433,168 : x
  2. Step 2: Convert to fraction form
    200,744/433,168 = 433,168/x
  3. Step 3: Cross multiply
    200,744x = 433,168 × 433,168
  4. Step 4: Simplify right side
    200,744x = 187,634,516,224
  5. Step 5: Solve for x
    x = 187,634,516,224/200,744
  6. Step 6: Final answer
    x = 934,695.51

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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.