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Finding the Third Proportional to 117,498 and 248,391

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Solution

The third proportional to 117,498 and 248,391 is: 525,099.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,498 : 248,391 = 248,391 : x
  2. Step 2: Convert to fraction form
    117,498/248,391 = 248,391/x
  3. Step 3: Cross multiply
    117,498x = 248,391 × 248,391
  4. Step 4: Simplify right side
    117,498x = 61,698,088,881
  5. Step 5: Solve for x
    x = 61,698,088,881/117,498
  6. Step 6: Final answer
    x = 525,099.06

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.