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Finding the Third Proportional to 256,177.13 and 547,823.81

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Solution

The third proportional to 256,177.13 and 547,823.81 is: 1,171,497.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,177.13 : 547,823.81 = 547,823.81 : x
  2. Step 2: Convert to fraction form
    256,177.13/547,823.81 = 547,823.81/x
  3. Step 3: Cross multiply
    256,177.13x = 547,823.81 × 547,823.81
  4. Step 4: Simplify right side
    256,177.13x = 300,110,929,542.04
  5. Step 5: Solve for x
    x = 300,110,929,542.04/256,177.13
  6. Step 6: Final answer
    x = 1,171,497.77

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.