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Finding the Third Proportional to 166,641 and 268,347

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Solution

The third proportional to 166,641 and 268,347 is: 432,127.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,641 : 268,347 = 268,347 : x
  2. Step 2: Convert to fraction form
    166,641/268,347 = 268,347/x
  3. Step 3: Cross multiply
    166,641x = 268,347 × 268,347
  4. Step 4: Simplify right side
    166,641x = 72,010,112,409
  5. Step 5: Solve for x
    x = 72,010,112,409/166,641
  6. Step 6: Final answer
    x = 432,127.22

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.