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Finding the Third Proportional to 160,960 and 236,768

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Solution

The third proportional to 160,960 and 236,768 is: 348,279.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,960 : 236,768 = 236,768 : x
  2. Step 2: Convert to fraction form
    160,960/236,768 = 236,768/x
  3. Step 3: Cross multiply
    160,960x = 236,768 × 236,768
  4. Step 4: Simplify right side
    160,960x = 56,059,085,824
  5. Step 5: Solve for x
    x = 56,059,085,824/160,960
  6. Step 6: Final answer
    x = 348,279.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.