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Finding the Third Proportional to 160,798 and 349,276

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Solution

The third proportional to 160,798 and 349,276 is: 758,676.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,798 : 349,276 = 349,276 : x
  2. Step 2: Convert to fraction form
    160,798/349,276 = 349,276/x
  3. Step 3: Cross multiply
    160,798x = 349,276 × 349,276
  4. Step 4: Simplify right side
    160,798x = 121,993,724,176
  5. Step 5: Solve for x
    x = 121,993,724,176/160,798
  6. Step 6: Final answer
    x = 758,676.88

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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.