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Finding the Third Proportional to 174,987 and 279,097

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Solution

The third proportional to 174,987 and 279,097 is: 445,148.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,987 : 279,097 = 279,097 : x
  2. Step 2: Convert to fraction form
    174,987/279,097 = 279,097/x
  3. Step 3: Cross multiply
    174,987x = 279,097 × 279,097
  4. Step 4: Simplify right side
    174,987x = 77,895,135,409
  5. Step 5: Solve for x
    x = 77,895,135,409/174,987
  6. Step 6: Final answer
    x = 445,148.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.