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Finding the Third Proportional to 186,018 and 269,955

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Solution

The third proportional to 186,018 and 269,955 is: 391,766.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,018 : 269,955 = 269,955 : x
  2. Step 2: Convert to fraction form
    186,018/269,955 = 269,955/x
  3. Step 3: Cross multiply
    186,018x = 269,955 × 269,955
  4. Step 4: Simplify right side
    186,018x = 72,875,702,025
  5. Step 5: Solve for x
    x = 72,875,702,025/186,018
  6. Step 6: Final answer
    x = 391,766.94

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.