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Finding the Third Proportional to 204,127 and 437,764

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Solution

The third proportional to 204,127 and 437,764 is: 938,814.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,127 : 437,764 = 437,764 : x
  2. Step 2: Convert to fraction form
    204,127/437,764 = 437,764/x
  3. Step 3: Cross multiply
    204,127x = 437,764 × 437,764
  4. Step 4: Simplify right side
    204,127x = 191,637,319,696
  5. Step 5: Solve for x
    x = 191,637,319,696/204,127
  6. Step 6: Final answer
    x = 938,814.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.