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Finding the Third Proportional to 160,714.13 and 350,001

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Solution

The third proportional to 160,714.13 and 350,001 is: 762,227.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,714.13 : 350,001 = 350,001 : x
  2. Step 2: Convert to fraction form
    160,714.13/350,001 = 350,001/x
  3. Step 3: Cross multiply
    160,714.13x = 350,001 × 350,001
  4. Step 4: Simplify right side
    160,714.13x = 122,500,700,001
  5. Step 5: Solve for x
    x = 122,500,700,001/160,714.13
  6. Step 6: Final answer
    x = 762,227.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.