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Finding the Third Proportional to 112,222 and 240,208

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Solution

The third proportional to 112,222 and 240,208 is: 514,158.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,222 : 240,208 = 240,208 : x
  2. Step 2: Convert to fraction form
    112,222/240,208 = 240,208/x
  3. Step 3: Cross multiply
    112,222x = 240,208 × 240,208
  4. Step 4: Simplify right side
    112,222x = 57,699,883,264
  5. Step 5: Solve for x
    x = 57,699,883,264/112,222
  6. Step 6: Final answer
    x = 514,158.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.