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Finding the Third Proportional to 115,222 and 238,442

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Solution

The third proportional to 115,222 and 238,442 is: 493,435.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,222 : 238,442 = 238,442 : x
  2. Step 2: Convert to fraction form
    115,222/238,442 = 238,442/x
  3. Step 3: Cross multiply
    115,222x = 238,442 × 238,442
  4. Step 4: Simplify right side
    115,222x = 56,854,587,364
  5. Step 5: Solve for x
    x = 56,854,587,364/115,222
  6. Step 6: Final answer
    x = 493,435.17

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.