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Finding the Third Proportional to 158,400 and 344,736

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Solution

The third proportional to 158,400 and 344,736 is: 750,270.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,400 : 344,736 = 344,736 : x
  2. Step 2: Convert to fraction form
    158,400/344,736 = 344,736/x
  3. Step 3: Cross multiply
    158,400x = 344,736 × 344,736
  4. Step 4: Simplify right side
    158,400x = 118,842,909,696
  5. Step 5: Solve for x
    x = 118,842,909,696/158,400
  6. Step 6: Final answer
    x = 750,270.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.