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Finding the Third Proportional to 160,110 and 348,408

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Solution

The third proportional to 160,110 and 348,408 is: 758,154.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,110 : 348,408 = 348,408 : x
  2. Step 2: Convert to fraction form
    160,110/348,408 = 348,408/x
  3. Step 3: Cross multiply
    160,110x = 348,408 × 348,408
  4. Step 4: Simplify right side
    160,110x = 121,388,134,464
  5. Step 5: Solve for x
    x = 121,388,134,464/160,110
  6. Step 6: Final answer
    x = 758,154.61

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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.