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Finding the Third Proportional to 146,408 and 214,026

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Solution

The third proportional to 146,408 and 214,026 is: 312,873.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,408 : 214,026 = 214,026 : x
  2. Step 2: Convert to fraction form
    146,408/214,026 = 214,026/x
  3. Step 3: Cross multiply
    146,408x = 214,026 × 214,026
  4. Step 4: Simplify right side
    146,408x = 45,807,128,676
  5. Step 5: Solve for x
    x = 45,807,128,676/146,408
  6. Step 6: Final answer
    x = 312,873.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.