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Finding the Third Proportional to 186,677 and 289,538

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Solution

The third proportional to 186,677 and 289,538 is: 449,076.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,677 : 289,538 = 289,538 : x
  2. Step 2: Convert to fraction form
    186,677/289,538 = 289,538/x
  3. Step 3: Cross multiply
    186,677x = 289,538 × 289,538
  4. Step 4: Simplify right side
    186,677x = 83,832,253,444
  5. Step 5: Solve for x
    x = 83,832,253,444/186,677
  6. Step 6: Final answer
    x = 449,076.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.