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Finding the Third Proportional to 186,662 and 252,345

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Solution

The third proportional to 186,662 and 252,345 is: 341,140.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,662 : 252,345 = 252,345 : x
  2. Step 2: Convert to fraction form
    186,662/252,345 = 252,345/x
  3. Step 3: Cross multiply
    186,662x = 252,345 × 252,345
  4. Step 4: Simplify right side
    186,662x = 63,677,999,025
  5. Step 5: Solve for x
    x = 63,677,999,025/186,662
  6. Step 6: Final answer
    x = 341,140.67

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.