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Finding the Third Proportional to 112,239 and 242,282

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Solution

The third proportional to 112,239 and 242,282 is: 522,996.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,239 : 242,282 = 242,282 : x
  2. Step 2: Convert to fraction form
    112,239/242,282 = 242,282/x
  3. Step 3: Cross multiply
    112,239x = 242,282 × 242,282
  4. Step 4: Simplify right side
    112,239x = 58,700,567,524
  5. Step 5: Solve for x
    x = 58,700,567,524/112,239
  6. Step 6: Final answer
    x = 522,996.17

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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.