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Finding the Third Proportional to 160,736 and 349,120

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Solution

The third proportional to 160,736 and 349,120 is: 758,291.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,736 : 349,120 = 349,120 : x
  2. Step 2: Convert to fraction form
    160,736/349,120 = 349,120/x
  3. Step 3: Cross multiply
    160,736x = 349,120 × 349,120
  4. Step 4: Simplify right side
    160,736x = 121,884,774,400
  5. Step 5: Solve for x
    x = 121,884,774,400/160,736
  6. Step 6: Final answer
    x = 758,291.70

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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.