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Finding the Third Proportional to 164,778 and 351,792

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Solution

The third proportional to 164,778 and 351,792 is: 751,056.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,778 : 351,792 = 351,792 : x
  2. Step 2: Convert to fraction form
    164,778/351,792 = 351,792/x
  3. Step 3: Cross multiply
    164,778x = 351,792 × 351,792
  4. Step 4: Simplify right side
    164,778x = 123,757,611,264
  5. Step 5: Solve for x
    x = 123,757,611,264/164,778
  6. Step 6: Final answer
    x = 751,056.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.