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Finding the Third Proportional to 158,592 and 332,753

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Solution

The third proportional to 158,592 and 332,753 is: 698,172.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,592 : 332,753 = 332,753 : x
  2. Step 2: Convert to fraction form
    158,592/332,753 = 332,753/x
  3. Step 3: Cross multiply
    158,592x = 332,753 × 332,753
  4. Step 4: Simplify right side
    158,592x = 110,724,559,009
  5. Step 5: Solve for x
    x = 110,724,559,009/158,592
  6. Step 6: Final answer
    x = 698,172.41

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.