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Finding the Third Proportional to 203,584 and 437,264

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Solution

The third proportional to 203,584 and 437,264 is: 939,169.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,584 : 437,264 = 437,264 : x
  2. Step 2: Convert to fraction form
    203,584/437,264 = 437,264/x
  3. Step 3: Cross multiply
    203,584x = 437,264 × 437,264
  4. Step 4: Simplify right side
    203,584x = 191,199,805,696
  5. Step 5: Solve for x
    x = 191,199,805,696/203,584
  6. Step 6: Final answer
    x = 939,169.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.