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Finding the Third Proportional to 154,792 and 337,772

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Solution

The third proportional to 154,792 and 337,772 is: 737,053.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,792 : 337,772 = 337,772 : x
  2. Step 2: Convert to fraction form
    154,792/337,772 = 337,772/x
  3. Step 3: Cross multiply
    154,792x = 337,772 × 337,772
  4. Step 4: Simplify right side
    154,792x = 114,089,923,984
  5. Step 5: Solve for x
    x = 114,089,923,984/154,792
  6. Step 6: Final answer
    x = 737,053.10

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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.