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Finding the Third Proportional to 231,672 and 369,991

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Solution

The third proportional to 231,672 and 369,991 is: 590,892.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,672 : 369,991 = 369,991 : x
  2. Step 2: Convert to fraction form
    231,672/369,991 = 369,991/x
  3. Step 3: Cross multiply
    231,672x = 369,991 × 369,991
  4. Step 4: Simplify right side
    231,672x = 136,893,340,081
  5. Step 5: Solve for x
    x = 136,893,340,081/231,672
  6. Step 6: Final answer
    x = 590,892.90

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.