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Finding the Third Proportional to 256,753.50 and 554,103.38

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Solution

The third proportional to 256,753.50 and 554,103.38 is: 1,195,818.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,753.50 : 554,103.38 = 554,103.38 : x
  2. Step 2: Convert to fraction form
    256,753.50/554,103.38 = 554,103.38/x
  3. Step 3: Cross multiply
    256,753.50x = 554,103.38 × 554,103.38
  4. Step 4: Simplify right side
    256,753.50x = 307,030,550,186.39
  5. Step 5: Solve for x
    x = 307,030,550,186.39/256,753.50
  6. Step 6: Final answer
    x = 1,195,818.36

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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.