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Finding the Third Proportional to 116,942 and 248,460

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Solution

The third proportional to 116,942 and 248,460 is: 527,888.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,942 : 248,460 = 248,460 : x
  2. Step 2: Convert to fraction form
    116,942/248,460 = 248,460/x
  3. Step 3: Cross multiply
    116,942x = 248,460 × 248,460
  4. Step 4: Simplify right side
    116,942x = 61,732,371,600
  5. Step 5: Solve for x
    x = 61,732,371,600/116,942
  6. Step 6: Final answer
    x = 527,888.80

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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.