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Finding the Third Proportional to 160,404 and 348,129

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Solution

The third proportional to 160,404 and 348,129 is: 755,553.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,404 : 348,129 = 348,129 : x
  2. Step 2: Convert to fraction form
    160,404/348,129 = 348,129/x
  3. Step 3: Cross multiply
    160,404x = 348,129 × 348,129
  4. Step 4: Simplify right side
    160,404x = 121,193,800,641
  5. Step 5: Solve for x
    x = 121,193,800,641/160,404
  6. Step 6: Final answer
    x = 755,553.48

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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.