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Finding the Third Proportional to 186,297.75 and 402,122.25

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Solution

The third proportional to 186,297.75 and 402,122.25 is: 867,977.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,297.75 : 402,122.25 = 402,122.25 : x
  2. Step 2: Convert to fraction form
    186,297.75/402,122.25 = 402,122.25/x
  3. Step 3: Cross multiply
    186,297.75x = 402,122.25 × 402,122.25
  4. Step 4: Simplify right side
    186,297.75x = 161,702,303,945.06
  5. Step 5: Solve for x
    x = 161,702,303,945.06/186,297.75
  6. Step 6: Final answer
    x = 867,977.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.