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Finding the Third Proportional to 160,732 and 352,084

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Solution

The third proportional to 160,732 and 352,084 is: 771,241.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,732 : 352,084 = 352,084 : x
  2. Step 2: Convert to fraction form
    160,732/352,084 = 352,084/x
  3. Step 3: Cross multiply
    160,732x = 352,084 × 352,084
  4. Step 4: Simplify right side
    160,732x = 123,963,143,056
  5. Step 5: Solve for x
    x = 123,963,143,056/160,732
  6. Step 6: Final answer
    x = 771,241.22

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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.