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Finding the Third Proportional to 75,178 and 174,805

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Solution

The third proportional to 75,178 and 174,805 is: 406,459.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,178 : 174,805 = 174,805 : x
  2. Step 2: Convert to fraction form
    75,178/174,805 = 174,805/x
  3. Step 3: Cross multiply
    75,178x = 174,805 × 174,805
  4. Step 4: Simplify right side
    75,178x = 30,556,788,025
  5. Step 5: Solve for x
    x = 30,556,788,025/75,178
  6. Step 6: Final answer
    x = 406,459.18

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.