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Finding the Third Proportional to 206,196 and 437,664

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Solution

The third proportional to 206,196 and 437,664 is: 928,969.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,196 : 437,664 = 437,664 : x
  2. Step 2: Convert to fraction form
    206,196/437,664 = 437,664/x
  3. Step 3: Cross multiply
    206,196x = 437,664 × 437,664
  4. Step 4: Simplify right side
    206,196x = 191,549,776,896
  5. Step 5: Solve for x
    x = 191,549,776,896/206,196
  6. Step 6: Final answer
    x = 928,969.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.