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Finding the Third Proportional to 237,730 and 518,108

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Solution

The third proportional to 237,730 and 518,108 is: 1,129,162.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,730 : 518,108 = 518,108 : x
  2. Step 2: Convert to fraction form
    237,730/518,108 = 518,108/x
  3. Step 3: Cross multiply
    237,730x = 518,108 × 518,108
  4. Step 4: Simplify right side
    237,730x = 268,435,899,664
  5. Step 5: Solve for x
    x = 268,435,899,664/237,730
  6. Step 6: Final answer
    x = 1,129,162.91

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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.