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Finding the Third Proportional to 175,043.25 and 256,996.13

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Solution

The third proportional to 175,043.25 and 256,996.13 is: 377,318.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,043.25 : 256,996.13 = 256,996.13 : x
  2. Step 2: Convert to fraction form
    175,043.25/256,996.13 = 256,996.13/x
  3. Step 3: Cross multiply
    175,043.25x = 256,996.13 × 256,996.13
  4. Step 4: Simplify right side
    175,043.25x = 66,047,008,265.02
  5. Step 5: Solve for x
    x = 66,047,008,265.02/175,043.25
  6. Step 6: Final answer
    x = 377,318.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.