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Finding the Third Proportional to 169,767 and 373,431

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Solution

The third proportional to 169,767 and 373,431 is: 821,424.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,767 : 373,431 = 373,431 : x
  2. Step 2: Convert to fraction form
    169,767/373,431 = 373,431/x
  3. Step 3: Cross multiply
    169,767x = 373,431 × 373,431
  4. Step 4: Simplify right side
    169,767x = 139,450,711,761
  5. Step 5: Solve for x
    x = 139,450,711,761/169,767
  6. Step 6: Final answer
    x = 821,424.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.