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Finding the Third Proportional to 250,146.56 and 547,002.56

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Solution

The third proportional to 250,146.56 and 547,002.56 is: 1,196,145.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,146.56 : 547,002.56 = 547,002.56 : x
  2. Step 2: Convert to fraction form
    250,146.56/547,002.56 = 547,002.56/x
  3. Step 3: Cross multiply
    250,146.56x = 547,002.56 × 547,002.56
  4. Step 4: Simplify right side
    250,146.56x = 299,211,803,381.57
  5. Step 5: Solve for x
    x = 299,211,803,381.57/250,146.56
  6. Step 6: Final answer
    x = 1,196,145.97

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.