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Finding the Third Proportional to 117,538 and 258,402

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Solution

The third proportional to 117,538 and 258,402 is: 568,085.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,538 : 258,402 = 258,402 : x
  2. Step 2: Convert to fraction form
    117,538/258,402 = 258,402/x
  3. Step 3: Cross multiply
    117,538x = 258,402 × 258,402
  4. Step 4: Simplify right side
    117,538x = 66,771,593,604
  5. Step 5: Solve for x
    x = 66,771,593,604/117,538
  6. Step 6: Final answer
    x = 568,085.16

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.