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Finding the Third Proportional to 186,818.50 and 262,143.50

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Solution

The third proportional to 186,818.50 and 262,143.50 is: 367,839.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,818.50 : 262,143.50 = 262,143.50 : x
  2. Step 2: Convert to fraction form
    186,818.50/262,143.50 = 262,143.50/x
  3. Step 3: Cross multiply
    186,818.50x = 262,143.50 × 262,143.50
  4. Step 4: Simplify right side
    186,818.50x = 68,719,214,592.25
  5. Step 5: Solve for x
    x = 68,719,214,592.25/186,818.50
  6. Step 6: Final answer
    x = 367,839.45

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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.