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Finding the Third Proportional to 157,792 and 221,946

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Solution

The third proportional to 157,792 and 221,946 is: 312,183.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,792 : 221,946 = 221,946 : x
  2. Step 2: Convert to fraction form
    157,792/221,946 = 221,946/x
  3. Step 3: Cross multiply
    157,792x = 221,946 × 221,946
  4. Step 4: Simplify right side
    157,792x = 49,260,026,916
  5. Step 5: Solve for x
    x = 49,260,026,916/157,792
  6. Step 6: Final answer
    x = 312,183.30

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.