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Finding the Third Proportional to 117,510 and 248,414

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Solution

The third proportional to 117,510 and 248,414 is: 525,142.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,510 : 248,414 = 248,414 : x
  2. Step 2: Convert to fraction form
    117,510/248,414 = 248,414/x
  3. Step 3: Cross multiply
    117,510x = 248,414 × 248,414
  4. Step 4: Simplify right side
    117,510x = 61,709,515,396
  5. Step 5: Solve for x
    x = 61,709,515,396/117,510
  6. Step 6: Final answer
    x = 525,142.67

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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.