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Finding the Third Proportional to 112,228 and 242,260

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Solution

The third proportional to 112,228 and 242,260 is: 522,952.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,228 : 242,260 = 242,260 : x
  2. Step 2: Convert to fraction form
    112,228/242,260 = 242,260/x
  3. Step 3: Cross multiply
    112,228x = 242,260 × 242,260
  4. Step 4: Simplify right side
    112,228x = 58,689,907,600
  5. Step 5: Solve for x
    x = 58,689,907,600/112,228
  6. Step 6: Final answer
    x = 522,952.45

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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.