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Finding the Third Proportional to 112,278 and 242,364

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Solution

The third proportional to 112,278 and 242,364 is: 523,168.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,278 : 242,364 = 242,364 : x
  2. Step 2: Convert to fraction form
    112,278/242,364 = 242,364/x
  3. Step 3: Cross multiply
    112,278x = 242,364 × 242,364
  4. Step 4: Simplify right side
    112,278x = 58,740,308,496
  5. Step 5: Solve for x
    x = 58,740,308,496/112,278
  6. Step 6: Final answer
    x = 523,168.46

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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.