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Finding the Third Proportional to 160,632 and 339,348

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Solution

The third proportional to 160,632 and 339,348 is: 716,899.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,632 : 339,348 = 339,348 : x
  2. Step 2: Convert to fraction form
    160,632/339,348 = 339,348/x
  3. Step 3: Cross multiply
    160,632x = 339,348 × 339,348
  4. Step 4: Simplify right side
    160,632x = 115,157,065,104
  5. Step 5: Solve for x
    x = 115,157,065,104/160,632
  6. Step 6: Final answer
    x = 716,899.90

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.