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Finding the Third Proportional to 160,256 and 348,160

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Solution

The third proportional to 160,256 and 348,160 is: 756,385.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,256 : 348,160 = 348,160 : x
  2. Step 2: Convert to fraction form
    160,256/348,160 = 348,160/x
  3. Step 3: Cross multiply
    160,256x = 348,160 × 348,160
  4. Step 4: Simplify right side
    160,256x = 121,215,385,600
  5. Step 5: Solve for x
    x = 121,215,385,600/160,256
  6. Step 6: Final answer
    x = 756,385.94

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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.