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Finding the Third Proportional to 112,633 and 242,654

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Solution

The third proportional to 112,633 and 242,654 is: 522,768.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,633 : 242,654 = 242,654 : x
  2. Step 2: Convert to fraction form
    112,633/242,654 = 242,654/x
  3. Step 3: Cross multiply
    112,633x = 242,654 × 242,654
  4. Step 4: Simplify right side
    112,633x = 58,880,963,716
  5. Step 5: Solve for x
    x = 58,880,963,716/112,633
  6. Step 6: Final answer
    x = 522,768.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.