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Finding the Third Proportional to 169,784 and 373,472

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Solution

The third proportional to 169,784 and 373,472 is: 821,522.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,784 : 373,472 = 373,472 : x
  2. Step 2: Convert to fraction form
    169,784/373,472 = 373,472/x
  3. Step 3: Cross multiply
    169,784x = 373,472 × 373,472
  4. Step 4: Simplify right side
    169,784x = 139,481,334,784
  5. Step 5: Solve for x
    x = 139,481,334,784/169,784
  6. Step 6: Final answer
    x = 821,522.26

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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.