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Finding the Third Proportional to 169,455 and 371,472

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Solution

The third proportional to 169,455 and 371,472 is: 814,325.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,455 : 371,472 = 371,472 : x
  2. Step 2: Convert to fraction form
    169,455/371,472 = 371,472/x
  3. Step 3: Cross multiply
    169,455x = 371,472 × 371,472
  4. Step 4: Simplify right side
    169,455x = 137,991,446,784
  5. Step 5: Solve for x
    x = 137,991,446,784/169,455
  6. Step 6: Final answer
    x = 814,325.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.