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Finding the Third Proportional to 186,869 and 262,038

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Solution

The third proportional to 186,869 and 262,038 is: 367,444.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,869 : 262,038 = 262,038 : x
  2. Step 2: Convert to fraction form
    186,869/262,038 = 262,038/x
  3. Step 3: Cross multiply
    186,869x = 262,038 × 262,038
  4. Step 4: Simplify right side
    186,869x = 68,663,913,444
  5. Step 5: Solve for x
    x = 68,663,913,444/186,869
  6. Step 6: Final answer
    x = 367,444.11

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.