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Finding the Third Proportional to 207,632 and 312,063

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Solution

The third proportional to 207,632 and 312,063 is: 469,018.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,632 : 312,063 = 312,063 : x
  2. Step 2: Convert to fraction form
    207,632/312,063 = 312,063/x
  3. Step 3: Cross multiply
    207,632x = 312,063 × 312,063
  4. Step 4: Simplify right side
    207,632x = 97,383,315,969
  5. Step 5: Solve for x
    x = 97,383,315,969/207,632
  6. Step 6: Final answer
    x = 469,018.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.