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Finding the Third Proportional to 160,430 and 341,504

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Solution

The third proportional to 160,430 and 341,504 is: 726,952.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,430 : 341,504 = 341,504 : x
  2. Step 2: Convert to fraction form
    160,430/341,504 = 341,504/x
  3. Step 3: Cross multiply
    160,430x = 341,504 × 341,504
  4. Step 4: Simplify right side
    160,430x = 116,624,982,016
  5. Step 5: Solve for x
    x = 116,624,982,016/160,430
  6. Step 6: Final answer
    x = 726,952.45

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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.