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Finding the Third Proportional to 238,122 and 369,018

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Solution

The third proportional to 238,122 and 369,018 is: 571,867.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,122 : 369,018 = 369,018 : x
  2. Step 2: Convert to fraction form
    238,122/369,018 = 369,018/x
  3. Step 3: Cross multiply
    238,122x = 369,018 × 369,018
  4. Step 4: Simplify right side
    238,122x = 136,174,284,324
  5. Step 5: Solve for x
    x = 136,174,284,324/238,122
  6. Step 6: Final answer
    x = 571,867.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.