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Finding the Third Proportional to 204,148 and 437,810

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Solution

The third proportional to 204,148 and 437,810 is: 938,914.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,148 : 437,810 = 437,810 : x
  2. Step 2: Convert to fraction form
    204,148/437,810 = 437,810/x
  3. Step 3: Cross multiply
    204,148x = 437,810 × 437,810
  4. Step 4: Simplify right side
    204,148x = 191,677,596,100
  5. Step 5: Solve for x
    x = 191,677,596,100/204,148
  6. Step 6: Final answer
    x = 938,914.89

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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.