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Finding the Third Proportional to 254,918.25 and 560,164.50

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Solution

The third proportional to 254,918.25 and 560,164.50 is: 1,230,921.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,918.25 : 560,164.50 = 560,164.50 : x
  2. Step 2: Convert to fraction form
    254,918.25/560,164.50 = 560,164.50/x
  3. Step 3: Cross multiply
    254,918.25x = 560,164.50 × 560,164.50
  4. Step 4: Simplify right side
    254,918.25x = 313,784,267,060.25
  5. Step 5: Solve for x
    x = 313,784,267,060.25/254,918.25
  6. Step 6: Final answer
    x = 1,230,921.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.