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Finding the Third Proportional to 112,294 and 242,398

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Solution

The third proportional to 112,294 and 242,398 is: 523,240.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,294 : 242,398 = 242,398 : x
  2. Step 2: Convert to fraction form
    112,294/242,398 = 242,398/x
  3. Step 3: Cross multiply
    112,294x = 242,398 × 242,398
  4. Step 4: Simplify right side
    112,294x = 58,756,790,404
  5. Step 5: Solve for x
    x = 58,756,790,404/112,294
  6. Step 6: Final answer
    x = 523,240.69

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