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Finding the Third Proportional to 117,409 and 167,294

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Solution

The third proportional to 117,409 and 167,294 is: 238,374.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,409 : 167,294 = 167,294 : x
  2. Step 2: Convert to fraction form
    117,409/167,294 = 167,294/x
  3. Step 3: Cross multiply
    117,409x = 167,294 × 167,294
  4. Step 4: Simplify right side
    117,409x = 27,987,282,436
  5. Step 5: Solve for x
    x = 27,987,282,436/117,409
  6. Step 6: Final answer
    x = 238,374.25

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.