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Finding the Third Proportional to 250,730.25 and 547,185

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Solution

The third proportional to 250,730.25 and 547,185 is: 1,194,157.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,730.25 : 547,185 = 547,185 : x
  2. Step 2: Convert to fraction form
    250,730.25/547,185 = 547,185/x
  3. Step 3: Cross multiply
    250,730.25x = 547,185 × 547,185
  4. Step 4: Simplify right side
    250,730.25x = 299,411,424,225
  5. Step 5: Solve for x
    x = 299,411,424,225/250,730.25
  6. Step 6: Final answer
    x = 1,194,157.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.