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Finding the Third Proportional to 202,160 and 440,180

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Solution

The third proportional to 202,160 and 440,180 is: 958,441.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,160 : 440,180 = 440,180 : x
  2. Step 2: Convert to fraction form
    202,160/440,180 = 440,180/x
  3. Step 3: Cross multiply
    202,160x = 440,180 × 440,180
  4. Step 4: Simplify right side
    202,160x = 193,758,432,400
  5. Step 5: Solve for x
    x = 193,758,432,400/202,160
  6. Step 6: Final answer
    x = 958,441.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.