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Finding the Third Proportional to 117,522 and 258,372

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Solution

The third proportional to 117,522 and 258,372 is: 568,030.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,522 : 258,372 = 258,372 : x
  2. Step 2: Convert to fraction form
    117,522/258,372 = 258,372/x
  3. Step 3: Cross multiply
    117,522x = 258,372 × 258,372
  4. Step 4: Simplify right side
    117,522x = 66,756,090,384
  5. Step 5: Solve for x
    x = 66,756,090,384/117,522
  6. Step 6: Final answer
    x = 568,030.58

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Why These Related Problems?

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