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Finding the Third Proportional to 112,292 and 242,394

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Solution

The third proportional to 112,292 and 242,394 is: 523,232.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,292 : 242,394 = 242,394 : x
  2. Step 2: Convert to fraction form
    112,292/242,394 = 242,394/x
  3. Step 3: Cross multiply
    112,292x = 242,394 × 242,394
  4. Step 4: Simplify right side
    112,292x = 58,754,851,236
  5. Step 5: Solve for x
    x = 58,754,851,236/112,292
  6. Step 6: Final answer
    x = 523,232.74

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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.