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Finding the Third Proportional to 110,534 and 238,348

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Solution

The third proportional to 110,534 and 238,348 is: 513,957.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,534 : 238,348 = 238,348 : x
  2. Step 2: Convert to fraction form
    110,534/238,348 = 238,348/x
  3. Step 3: Cross multiply
    110,534x = 238,348 × 238,348
  4. Step 4: Simplify right side
    110,534x = 56,809,769,104
  5. Step 5: Solve for x
    x = 56,809,769,104/110,534
  6. Step 6: Final answer
    x = 513,957.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.