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Finding the Third Proportional to 160,854 and 349,356

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Solution

The third proportional to 160,854 and 349,356 is: 758,760.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,854 : 349,356 = 349,356 : x
  2. Step 2: Convert to fraction form
    160,854/349,356 = 349,356/x
  3. Step 3: Cross multiply
    160,854x = 349,356 × 349,356
  4. Step 4: Simplify right side
    160,854x = 122,049,614,736
  5. Step 5: Solve for x
    x = 122,049,614,736/160,854
  6. Step 6: Final answer
    x = 758,760.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.