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Finding the Third Proportional to 163,168 and 238,488

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Solution

The third proportional to 163,168 and 238,488 is: 348,576.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,168 : 238,488 = 238,488 : x
  2. Step 2: Convert to fraction form
    163,168/238,488 = 238,488/x
  3. Step 3: Cross multiply
    163,168x = 238,488 × 238,488
  4. Step 4: Simplify right side
    163,168x = 56,876,526,144
  5. Step 5: Solve for x
    x = 56,876,526,144/163,168
  6. Step 6: Final answer
    x = 348,576.47

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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.