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Finding the Third Proportional to 117,699 and 254,952

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Solution

The third proportional to 117,699 and 254,952 is: 552,260.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,699 : 254,952 = 254,952 : x
  2. Step 2: Convert to fraction form
    117,699/254,952 = 254,952/x
  3. Step 3: Cross multiply
    117,699x = 254,952 × 254,952
  4. Step 4: Simplify right side
    117,699x = 65,000,522,304
  5. Step 5: Solve for x
    x = 65,000,522,304/117,699
  6. Step 6: Final answer
    x = 552,260.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.