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Finding the Third Proportional to 116,898 and 248,376

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Solution

The third proportional to 116,898 and 248,376 is: 527,730.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,898 : 248,376 = 248,376 : x
  2. Step 2: Convert to fraction form
    116,898/248,376 = 248,376/x
  3. Step 3: Cross multiply
    116,898x = 248,376 × 248,376
  4. Step 4: Simplify right side
    116,898x = 61,690,637,376
  5. Step 5: Solve for x
    x = 61,690,637,376/116,898
  6. Step 6: Final answer
    x = 527,730.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.