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Finding the Third Proportional to 163,110 and 238,371

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Solution

The third proportional to 163,110 and 238,371 is: 348,358.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,110 : 238,371 = 238,371 : x
  2. Step 2: Convert to fraction form
    163,110/238,371 = 238,371/x
  3. Step 3: Cross multiply
    163,110x = 238,371 × 238,371
  4. Step 4: Simplify right side
    163,110x = 56,820,733,641
  5. Step 5: Solve for x
    x = 56,820,733,641/163,110
  6. Step 6: Final answer
    x = 348,358.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.