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Finding the Third Proportional to 111,498 and 238,260

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Solution

The third proportional to 111,498 and 238,260 is: 509,137.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,498 : 238,260 = 238,260 : x
  2. Step 2: Convert to fraction form
    111,498/238,260 = 238,260/x
  3. Step 3: Cross multiply
    111,498x = 238,260 × 238,260
  4. Step 4: Simplify right side
    111,498x = 56,767,827,600
  5. Step 5: Solve for x
    x = 56,767,827,600/111,498
  6. Step 6: Final answer
    x = 509,137.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.