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Finding the Third Proportional to 236,388 and 344,472

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Solution

The third proportional to 236,388 and 344,472 is: 501,975.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,388 : 344,472 = 344,472 : x
  2. Step 2: Convert to fraction form
    236,388/344,472 = 344,472/x
  3. Step 3: Cross multiply
    236,388x = 344,472 × 344,472
  4. Step 4: Simplify right side
    236,388x = 118,660,958,784
  5. Step 5: Solve for x
    x = 118,660,958,784/236,388
  6. Step 6: Final answer
    x = 501,975.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.