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Finding the Third Proportional to 237,826 and 348,205

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Solution

The third proportional to 237,826 and 348,205 is: 509,812.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,826 : 348,205 = 348,205 : x
  2. Step 2: Convert to fraction form
    237,826/348,205 = 348,205/x
  3. Step 3: Cross multiply
    237,826x = 348,205 × 348,205
  4. Step 4: Simplify right side
    237,826x = 121,246,722,025
  5. Step 5: Solve for x
    x = 121,246,722,025/237,826
  6. Step 6: Final answer
    x = 509,812.73

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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.