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Finding the Third Proportional to 186,178.13 and 401,872.13

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Solution

The third proportional to 186,178.13 and 401,872.13 is: 867,455.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,178.13 : 401,872.13 = 401,872.13 : x
  2. Step 2: Convert to fraction form
    186,178.13/401,872.13 = 401,872.13/x
  3. Step 3: Cross multiply
    186,178.13x = 401,872.13 × 401,872.13
  4. Step 4: Simplify right side
    186,178.13x = 161,501,204,852.02
  5. Step 5: Solve for x
    x = 161,501,204,852.02/186,178.13
  6. Step 6: Final answer
    x = 867,455.32

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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.