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Finding the Third Proportional to 111,498 and 240,492

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Solution

The third proportional to 111,498 and 240,492 is: 518,721.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,498 : 240,492 = 240,492 : x
  2. Step 2: Convert to fraction form
    111,498/240,492 = 240,492/x
  3. Step 3: Cross multiply
    111,498x = 240,492 × 240,492
  4. Step 4: Simplify right side
    111,498x = 57,836,402,064
  5. Step 5: Solve for x
    x = 57,836,402,064/111,498
  6. Step 6: Final answer
    x = 518,721.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.