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Finding the Third Proportional to 250,688 and 547,108

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Solution

The third proportional to 250,688 and 547,108 is: 1,194,022.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,688 : 547,108 = 547,108 : x
  2. Step 2: Convert to fraction form
    250,688/547,108 = 547,108/x
  3. Step 3: Cross multiply
    250,688x = 547,108 × 547,108
  4. Step 4: Simplify right side
    250,688x = 299,327,163,664
  5. Step 5: Solve for x
    x = 299,327,163,664/250,688
  6. Step 6: Final answer
    x = 1,194,022.70

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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.